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Finding the Third Proportional to 175,476.38 and 359,265.38

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Solution

The third proportional to 175,476.38 and 359,265.38 is: 735,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,476.38 : 359,265.38 = 359,265.38 : x
  2. Step 2: Convert to fraction form
    175,476.38/359,265.38 = 359,265.38/x
  3. Step 3: Cross multiply
    175,476.38x = 359,265.38 × 359,265.38
  4. Step 4: Simplify right side
    175,476.38x = 129,071,609,673.89
  5. Step 5: Solve for x
    x = 129,071,609,673.89/175,476.38
  6. Step 6: Final answer
    x = 735,549.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.