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Finding the Third Proportional to 144,042 and 207,482

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Solution

The third proportional to 144,042 and 207,482 is: 298,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,042 : 207,482 = 207,482 : x
  2. Step 2: Convert to fraction form
    144,042/207,482 = 207,482/x
  3. Step 3: Cross multiply
    144,042x = 207,482 × 207,482
  4. Step 4: Simplify right side
    144,042x = 43,048,780,324
  5. Step 5: Solve for x
    x = 43,048,780,324/144,042
  6. Step 6: Final answer
    x = 298,862.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.