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Finding the Third Proportional to 238,109.63 and 492,652.13

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Solution

The third proportional to 238,109.63 and 492,652.13 is: 1,019,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,109.63 : 492,652.13 = 492,652.13 : x
  2. Step 2: Convert to fraction form
    238,109.63/492,652.13 = 492,652.13/x
  3. Step 3: Cross multiply
    238,109.63x = 492,652.13 × 492,652.13
  4. Step 4: Simplify right side
    238,109.63x = 242,706,116,267.02
  5. Step 5: Solve for x
    x = 242,706,116,267.02/238,109.63
  6. Step 6: Final answer
    x = 1,019,304.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.