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Finding the Third Proportional to 172,432.50 and 252,087

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Solution

The third proportional to 172,432.50 and 252,087 is: 368,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,432.50 : 252,087 = 252,087 : x
  2. Step 2: Convert to fraction form
    172,432.50/252,087 = 252,087/x
  3. Step 3: Cross multiply
    172,432.50x = 252,087 × 252,087
  4. Step 4: Simplify right side
    172,432.50x = 63,547,855,569
  5. Step 5: Solve for x
    x = 63,547,855,569/172,432.50
  6. Step 6: Final answer
    x = 368,537.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.