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Finding the Third Proportional to 156,142 and 233,785

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Solution

The third proportional to 156,142 and 233,785 is: 350,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,142 : 233,785 = 233,785 : x
  2. Step 2: Convert to fraction form
    156,142/233,785 = 233,785/x
  3. Step 3: Cross multiply
    156,142x = 233,785 × 233,785
  4. Step 4: Simplify right side
    156,142x = 54,655,426,225
  5. Step 5: Solve for x
    x = 54,655,426,225/156,142
  6. Step 6: Final answer
    x = 350,036.67

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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.