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Finding the Third Proportional to 132,924 and 286,719

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Solution

The third proportional to 132,924 and 286,719 is: 618,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,924 : 286,719 = 286,719 : x
  2. Step 2: Convert to fraction form
    132,924/286,719 = 286,719/x
  3. Step 3: Cross multiply
    132,924x = 286,719 × 286,719
  4. Step 4: Simplify right side
    132,924x = 82,207,784,961
  5. Step 5: Solve for x
    x = 82,207,784,961/132,924
  6. Step 6: Final answer
    x = 618,457.05

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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.