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Finding the Third Proportional to 132,647.57 and 286,301.76

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Solution

The third proportional to 132,647.57 and 286,301.76 is: 617,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,647.57 : 286,301.76 = 286,301.76 : x
  2. Step 2: Convert to fraction form
    132,647.57/286,301.76 = 286,301.76/x
  3. Step 3: Cross multiply
    132,647.57x = 286,301.76 × 286,301.76
  4. Step 4: Simplify right side
    132,647.57x = 81,968,696,386.73
  5. Step 5: Solve for x
    x = 81,968,696,386.73/132,647.57
  6. Step 6: Final answer
    x = 617,943.47

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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.