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Finding the Third Proportional to 132,652 and 286,312

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Solution

The third proportional to 132,652 and 286,312 is: 617,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,652 : 286,312 = 286,312 : x
  2. Step 2: Convert to fraction form
    132,652/286,312 = 286,312/x
  3. Step 3: Cross multiply
    132,652x = 286,312 × 286,312
  4. Step 4: Simplify right side
    132,652x = 81,974,561,344
  5. Step 5: Solve for x
    x = 81,974,561,344/132,652
  6. Step 6: Final answer
    x = 617,967.02

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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.