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Finding the Third Proportional to 156,870 and 240,013

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Solution

The third proportional to 156,870 and 240,013 is: 367,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,870 : 240,013 = 240,013 : x
  2. Step 2: Convert to fraction form
    156,870/240,013 = 240,013/x
  3. Step 3: Cross multiply
    156,870x = 240,013 × 240,013
  4. Step 4: Simplify right side
    156,870x = 57,606,240,169
  5. Step 5: Solve for x
    x = 57,606,240,169/156,870
  6. Step 6: Final answer
    x = 367,222.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.