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Finding the Third Proportional to 162,448 and 250,013

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Solution

The third proportional to 162,448 and 250,013 is: 384,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,448 : 250,013 = 250,013 : x
  2. Step 2: Convert to fraction form
    162,448/250,013 = 250,013/x
  3. Step 3: Cross multiply
    162,448x = 250,013 × 250,013
  4. Step 4: Simplify right side
    162,448x = 62,506,500,169
  5. Step 5: Solve for x
    x = 62,506,500,169/162,448
  6. Step 6: Final answer
    x = 384,778.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.