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Finding the Third Proportional to 314,138.25 and 469,938.38

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Solution

The third proportional to 314,138.25 and 469,938.38 is: 703,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,138.25 : 469,938.38 = 469,938.38 : x
  2. Step 2: Convert to fraction form
    314,138.25/469,938.38 = 469,938.38/x
  3. Step 3: Cross multiply
    314,138.25x = 469,938.38 × 469,938.38
  4. Step 4: Simplify right side
    314,138.25x = 220,842,076,297.64
  5. Step 5: Solve for x
    x = 220,842,076,297.64/314,138.25
  6. Step 6: Final answer
    x = 703,009.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.