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Finding the Third Proportional to 132,528 and 258,368

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Solution

The third proportional to 132,528 and 258,368 is: 503,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,528 : 258,368 = 258,368 : x
  2. Step 2: Convert to fraction form
    132,528/258,368 = 258,368/x
  3. Step 3: Cross multiply
    132,528x = 258,368 × 258,368
  4. Step 4: Simplify right side
    132,528x = 66,754,023,424
  5. Step 5: Solve for x
    x = 66,754,023,424/132,528
  6. Step 6: Final answer
    x = 503,697.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.