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Finding the Third Proportional to 157,854 and 241,479

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Solution

The third proportional to 157,854 and 241,479 is: 369,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854 : 241,479 = 241,479 : x
  2. Step 2: Convert to fraction form
    157,854/241,479 = 241,479/x
  3. Step 3: Cross multiply
    157,854x = 241,479 × 241,479
  4. Step 4: Simplify right side
    157,854x = 58,312,107,441
  5. Step 5: Solve for x
    x = 58,312,107,441/157,854
  6. Step 6: Final answer
    x = 369,405.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.