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Finding the Third Proportional to 248,226.56 and 383,572.13

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Solution

The third proportional to 248,226.56 and 383,572.13 is: 592,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,226.56 : 383,572.13 = 383,572.13 : x
  2. Step 2: Convert to fraction form
    248,226.56/383,572.13 = 383,572.13/x
  3. Step 3: Cross multiply
    248,226.56x = 383,572.13 × 383,572.13
  4. Step 4: Simplify right side
    248,226.56x = 147,127,575,077.02
  5. Step 5: Solve for x
    x = 147,127,575,077.02/248,226.56
  6. Step 6: Final answer
    x = 592,714.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.