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Finding the Third Proportional to 266,182.50 and 382,618.50

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Solution

The third proportional to 266,182.50 and 382,618.50 is: 549,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,182.50 : 382,618.50 = 382,618.50 : x
  2. Step 2: Convert to fraction form
    266,182.50/382,618.50 = 382,618.50/x
  3. Step 3: Cross multiply
    266,182.50x = 382,618.50 × 382,618.50
  4. Step 4: Simplify right side
    266,182.50x = 146,396,916,542.25
  5. Step 5: Solve for x
    x = 146,396,916,542.25/266,182.50
  6. Step 6: Final answer
    x = 549,987.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.