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Finding the Third Proportional to 155,082 and 232,617

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Solution

The third proportional to 155,082 and 232,617 is: 348,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,082 : 232,617 = 232,617 : x
  2. Step 2: Convert to fraction form
    155,082/232,617 = 232,617/x
  3. Step 3: Cross multiply
    155,082x = 232,617 × 232,617
  4. Step 4: Simplify right side
    155,082x = 54,110,668,689
  5. Step 5: Solve for x
    x = 54,110,668,689/155,082
  6. Step 6: Final answer
    x = 348,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.