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Finding the Third Proportional to 160,565 and 349,730

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Solution

The third proportional to 160,565 and 349,730 is: 761,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,565 : 349,730 = 349,730 : x
  2. Step 2: Convert to fraction form
    160,565/349,730 = 349,730/x
  3. Step 3: Cross multiply
    160,565x = 349,730 × 349,730
  4. Step 4: Simplify right side
    160,565x = 122,311,072,900
  5. Step 5: Solve for x
    x = 122,311,072,900/160,565
  6. Step 6: Final answer
    x = 761,754.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.