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Finding the Third Proportional to 152,047.13 and 238,501.13

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Solution

The third proportional to 152,047.13 and 238,501.13 is: 374,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,047.13 : 238,501.13 = 238,501.13 : x
  2. Step 2: Convert to fraction form
    152,047.13/238,501.13 = 238,501.13/x
  3. Step 3: Cross multiply
    152,047.13x = 238,501.13 × 238,501.13
  4. Step 4: Simplify right side
    152,047.13x = 56,882,786,626.27
  5. Step 5: Solve for x
    x = 56,882,786,626.27/152,047.13
  6. Step 6: Final answer
    x = 374,112.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.