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Finding the Third Proportional to 136,896 and 292,708

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Solution

The third proportional to 136,896 and 292,708 is: 625,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,896 : 292,708 = 292,708 : x
  2. Step 2: Convert to fraction form
    136,896/292,708 = 292,708/x
  3. Step 3: Cross multiply
    136,896x = 292,708 × 292,708
  4. Step 4: Simplify right side
    136,896x = 85,677,973,264
  5. Step 5: Solve for x
    x = 85,677,973,264/136,896
  6. Step 6: Final answer
    x = 625,861.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.