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Finding the Third Proportional to 160,583 and 349,764

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Solution

The third proportional to 160,583 and 349,764 is: 761,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,583 : 349,764 = 349,764 : x
  2. Step 2: Convert to fraction form
    160,583/349,764 = 349,764/x
  3. Step 3: Cross multiply
    160,583x = 349,764 × 349,764
  4. Step 4: Simplify right side
    160,583x = 122,334,855,696
  5. Step 5: Solve for x
    x = 122,334,855,696/160,583
  6. Step 6: Final answer
    x = 761,816.98

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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.