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Finding the Third Proportional to 160,506 and 379,577

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Solution

The third proportional to 160,506 and 379,577 is: 897,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 379,577 = 379,577 : x
  2. Step 2: Convert to fraction form
    160,506/379,577 = 379,577/x
  3. Step 3: Cross multiply
    160,506x = 379,577 × 379,577
  4. Step 4: Simplify right side
    160,506x = 144,078,698,929
  5. Step 5: Solve for x
    x = 144,078,698,929/160,506
  6. Step 6: Final answer
    x = 897,653.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.