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Finding the Third Proportional to 169,124.50 and 364,691

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Solution

The third proportional to 169,124.50 and 364,691 is: 786,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,124.50 : 364,691 = 364,691 : x
  2. Step 2: Convert to fraction form
    169,124.50/364,691 = 364,691/x
  3. Step 3: Cross multiply
    169,124.50x = 364,691 × 364,691
  4. Step 4: Simplify right side
    169,124.50x = 132,999,525,481
  5. Step 5: Solve for x
    x = 132,999,525,481/169,124.50
  6. Step 6: Final answer
    x = 786,400.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.