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Finding the Third Proportional to 162,768 and 250,470

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Solution

The third proportional to 162,768 and 250,470 is: 385,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,768 : 250,470 = 250,470 : x
  2. Step 2: Convert to fraction form
    162,768/250,470 = 250,470/x
  3. Step 3: Cross multiply
    162,768x = 250,470 × 250,470
  4. Step 4: Simplify right side
    162,768x = 62,735,220,900
  5. Step 5: Solve for x
    x = 62,735,220,900/162,768
  6. Step 6: Final answer
    x = 385,427.24

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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.