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Finding the Third Proportional to 114,788 and 252,776

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Solution

The third proportional to 114,788 and 252,776 is: 556,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,788 : 252,776 = 252,776 : x
  2. Step 2: Convert to fraction form
    114,788/252,776 = 252,776/x
  3. Step 3: Cross multiply
    114,788x = 252,776 × 252,776
  4. Step 4: Simplify right side
    114,788x = 63,895,706,176
  5. Step 5: Solve for x
    x = 63,895,706,176/114,788
  6. Step 6: Final answer
    x = 556,640.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.