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Finding the Third Proportional to 152,553.19 and 315,714.38

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Solution

The third proportional to 152,553.19 and 315,714.38 is: 653,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,553.19 : 315,714.38 = 315,714.38 : x
  2. Step 2: Convert to fraction form
    152,553.19/315,714.38 = 315,714.38/x
  3. Step 3: Cross multiply
    152,553.19x = 315,714.38 × 315,714.38
  4. Step 4: Simplify right side
    152,553.19x = 99,675,566,581.64
  5. Step 5: Solve for x
    x = 99,675,566,581.64/152,553.19
  6. Step 6: Final answer
    x = 653,382.39

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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.