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Finding the Third Proportional to 145,131 and 224,169

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Solution

The third proportional to 145,131 and 224,169 is: 346,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,131 : 224,169 = 224,169 : x
  2. Step 2: Convert to fraction form
    145,131/224,169 = 224,169/x
  3. Step 3: Cross multiply
    145,131x = 224,169 × 224,169
  4. Step 4: Simplify right side
    145,131x = 50,251,740,561
  5. Step 5: Solve for x
    x = 50,251,740,561/145,131
  6. Step 6: Final answer
    x = 346,250.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.