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Finding the Third Proportional to 266,130.56 and 404,276.06

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Solution

The third proportional to 266,130.56 and 404,276.06 is: 614,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,130.56 : 404,276.06 = 404,276.06 : x
  2. Step 2: Convert to fraction form
    266,130.56/404,276.06 = 404,276.06/x
  3. Step 3: Cross multiply
    266,130.56x = 404,276.06 × 404,276.06
  4. Step 4: Simplify right side
    266,130.56x = 163,439,134,710.50
  5. Step 5: Solve for x
    x = 163,439,134,710.50/266,130.56
  6. Step 6: Final answer
    x = 614,131.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.