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Finding the Third Proportional to 134,918 and 296,080

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Solution

The third proportional to 134,918 and 296,080 is: 649,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,918 : 296,080 = 296,080 : x
  2. Step 2: Convert to fraction form
    134,918/296,080 = 296,080/x
  3. Step 3: Cross multiply
    134,918x = 296,080 × 296,080
  4. Step 4: Simplify right side
    134,918x = 87,663,366,400
  5. Step 5: Solve for x
    x = 87,663,366,400/134,918
  6. Step 6: Final answer
    x = 649,752.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.