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Finding the Third Proportional to 172,596.38 and 357,175.13

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Solution

The third proportional to 172,596.38 and 357,175.13 is: 739,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,596.38 : 357,175.13 = 357,175.13 : x
  2. Step 2: Convert to fraction form
    172,596.38/357,175.13 = 357,175.13/x
  3. Step 3: Cross multiply
    172,596.38x = 357,175.13 × 357,175.13
  4. Step 4: Simplify right side
    172,596.38x = 127,574,069,918.77
  5. Step 5: Solve for x
    x = 127,574,069,918.77/172,596.38
  6. Step 6: Final answer
    x = 739,146.87

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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.