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Finding the Third Proportional to 132,669 and 286,354.13

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Solution

The third proportional to 132,669 and 286,354.13 is: 618,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,669 : 286,354.13 = 286,354.13 : x
  2. Step 2: Convert to fraction form
    132,669/286,354.13 = 286,354.13/x
  3. Step 3: Cross multiply
    132,669x = 286,354.13 × 286,354.13
  4. Step 4: Simplify right side
    132,669x = 81,998,684,904.52
  5. Step 5: Solve for x
    x = 81,998,684,904.52/132,669
  6. Step 6: Final answer
    x = 618,069.67

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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.