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Finding the Third Proportional to 132,778 and 286,688

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Solution

The third proportional to 132,778 and 286,688 is: 619,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,778 : 286,688 = 286,688 : x
  2. Step 2: Convert to fraction form
    132,778/286,688 = 286,688/x
  3. Step 3: Cross multiply
    132,778x = 286,688 × 286,688
  4. Step 4: Simplify right side
    132,778x = 82,190,009,344
  5. Step 5: Solve for x
    x = 82,190,009,344/132,778
  6. Step 6: Final answer
    x = 619,003.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.