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Finding the Third Proportional to 147,624 and 235,010

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Solution

The third proportional to 147,624 and 235,010 is: 374,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,624 : 235,010 = 235,010 : x
  2. Step 2: Convert to fraction form
    147,624/235,010 = 235,010/x
  3. Step 3: Cross multiply
    147,624x = 235,010 × 235,010
  4. Step 4: Simplify right side
    147,624x = 55,229,700,100
  5. Step 5: Solve for x
    x = 55,229,700,100/147,624
  6. Step 6: Final answer
    x = 374,124.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.