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Finding the Third Proportional to 107,202 and 230,554

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Solution

The third proportional to 107,202 and 230,554 is: 495,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202 : 230,554 = 230,554 : x
  2. Step 2: Convert to fraction form
    107,202/230,554 = 230,554/x
  3. Step 3: Cross multiply
    107,202x = 230,554 × 230,554
  4. Step 4: Simplify right side
    107,202x = 53,155,146,916
  5. Step 5: Solve for x
    x = 53,155,146,916/107,202
  6. Step 6: Final answer
    x = 495,841.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.