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Finding the Third Proportional to 92,506 and 202,312.25

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Solution

The third proportional to 92,506 and 202,312.25 is: 442,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,506 : 202,312.25 = 202,312.25 : x
  2. Step 2: Convert to fraction form
    92,506/202,312.25 = 202,312.25/x
  3. Step 3: Cross multiply
    92,506x = 202,312.25 × 202,312.25
  4. Step 4: Simplify right side
    92,506x = 40,930,246,500.06
  5. Step 5: Solve for x
    x = 40,930,246,500.06/92,506
  6. Step 6: Final answer
    x = 442,460.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.