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Finding the Third Proportional to 160,564 and 349,733

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Solution

The third proportional to 160,564 and 349,733 is: 761,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564 : 349,733 = 349,733 : x
  2. Step 2: Convert to fraction form
    160,564/349,733 = 349,733/x
  3. Step 3: Cross multiply
    160,564x = 349,733 × 349,733
  4. Step 4: Simplify right side
    160,564x = 122,313,171,289
  5. Step 5: Solve for x
    x = 122,313,171,289/160,564
  6. Step 6: Final answer
    x = 761,772.07

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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.