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Finding the Third Proportional to 162,776 and 252,011

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Solution

The third proportional to 162,776 and 252,011 is: 390,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,776 : 252,011 = 252,011 : x
  2. Step 2: Convert to fraction form
    162,776/252,011 = 252,011/x
  3. Step 3: Cross multiply
    162,776x = 252,011 × 252,011
  4. Step 4: Simplify right side
    162,776x = 63,509,544,121
  5. Step 5: Solve for x
    x = 63,509,544,121/162,776
  6. Step 6: Final answer
    x = 390,165.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.