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Finding the Third Proportional to 240,786 and 357,712.88

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Solution

The third proportional to 240,786 and 357,712.88 is: 531,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,786 : 357,712.88 = 357,712.88 : x
  2. Step 2: Convert to fraction form
    240,786/357,712.88 = 357,712.88/x
  3. Step 3: Cross multiply
    240,786x = 357,712.88 × 357,712.88
  4. Step 4: Simplify right side
    240,786x = 127,958,500,940.77
  5. Step 5: Solve for x
    x = 127,958,500,940.77/240,786
  6. Step 6: Final answer
    x = 531,420.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.