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Finding the Third Proportional to 132,334 and 288,461

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Solution

The third proportional to 132,334 and 288,461 is: 628,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,334 : 288,461 = 288,461 : x
  2. Step 2: Convert to fraction form
    132,334/288,461 = 288,461/x
  3. Step 3: Cross multiply
    132,334x = 288,461 × 288,461
  4. Step 4: Simplify right side
    132,334x = 83,209,748,521
  5. Step 5: Solve for x
    x = 83,209,748,521/132,334
  6. Step 6: Final answer
    x = 628,785.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.