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Finding the Third Proportional to 159,336 and 349,776

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Solution

The third proportional to 159,336 and 349,776 is: 767,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,336 : 349,776 = 349,776 : x
  2. Step 2: Convert to fraction form
    159,336/349,776 = 349,776/x
  3. Step 3: Cross multiply
    159,336x = 349,776 × 349,776
  4. Step 4: Simplify right side
    159,336x = 122,343,250,176
  5. Step 5: Solve for x
    x = 122,343,250,176/159,336
  6. Step 6: Final answer
    x = 767,831.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.