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Finding the Third Proportional to 160,822.13 and 349,893

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Solution

The third proportional to 160,822.13 and 349,893 is: 761,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,822.13 : 349,893 = 349,893 : x
  2. Step 2: Convert to fraction form
    160,822.13/349,893 = 349,893/x
  3. Step 3: Cross multiply
    160,822.13x = 349,893 × 349,893
  4. Step 4: Simplify right side
    160,822.13x = 122,425,111,449
  5. Step 5: Solve for x
    x = 122,425,111,449/160,822.13
  6. Step 6: Final answer
    x = 761,245.45

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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.