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Finding the Third Proportional to 134,342 and 282,470

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Solution

The third proportional to 134,342 and 282,470 is: 593,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,342 : 282,470 = 282,470 : x
  2. Step 2: Convert to fraction form
    134,342/282,470 = 282,470/x
  3. Step 3: Cross multiply
    134,342x = 282,470 × 282,470
  4. Step 4: Simplify right side
    134,342x = 79,789,300,900
  5. Step 5: Solve for x
    x = 79,789,300,900/134,342
  6. Step 6: Final answer
    x = 593,926.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.