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Finding the Third Proportional to 147,141 and 233,149.50

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Solution

The third proportional to 147,141 and 233,149.50 is: 369,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,141 : 233,149.50 = 233,149.50 : x
  2. Step 2: Convert to fraction form
    147,141/233,149.50 = 233,149.50/x
  3. Step 3: Cross multiply
    147,141x = 233,149.50 × 233,149.50
  4. Step 4: Simplify right side
    147,141x = 54,358,689,350.25
  5. Step 5: Solve for x
    x = 54,358,689,350.25/147,141
  6. Step 6: Final answer
    x = 369,432.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.