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Finding the Third Proportional to 172,088 and 252,488

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Solution

The third proportional to 172,088 and 252,488 is: 370,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,088 : 252,488 = 252,488 : x
  2. Step 2: Convert to fraction form
    172,088/252,488 = 252,488/x
  3. Step 3: Cross multiply
    172,088x = 252,488 × 252,488
  4. Step 4: Simplify right side
    172,088x = 63,750,190,144
  5. Step 5: Solve for x
    x = 63,750,190,144/172,088
  6. Step 6: Final answer
    x = 370,451.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.