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Finding the Third Proportional to 147,246 and 229,617

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Solution

The third proportional to 147,246 and 229,617 is: 358,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,246 : 229,617 = 229,617 : x
  2. Step 2: Convert to fraction form
    147,246/229,617 = 229,617/x
  3. Step 3: Cross multiply
    147,246x = 229,617 × 229,617
  4. Step 4: Simplify right side
    147,246x = 52,723,966,689
  5. Step 5: Solve for x
    x = 52,723,966,689/147,246
  6. Step 6: Final answer
    x = 358,067.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.