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Finding the Third Proportional to 177,255 and 266,014.13

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Solution

The third proportional to 177,255 and 266,014.13 is: 399,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,255 : 266,014.13 = 266,014.13 : x
  2. Step 2: Convert to fraction form
    177,255/266,014.13 = 266,014.13/x
  3. Step 3: Cross multiply
    177,255x = 266,014.13 × 266,014.13
  4. Step 4: Simplify right side
    177,255x = 70,763,514,699.52
  5. Step 5: Solve for x
    x = 70,763,514,699.52/177,255
  6. Step 6: Final answer
    x = 399,218.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.