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Finding the Third Proportional to 160,470 and 229,221

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Solution

The third proportional to 160,470 and 229,221 is: 327,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,470 : 229,221 = 229,221 : x
  2. Step 2: Convert to fraction form
    160,470/229,221 = 229,221/x
  3. Step 3: Cross multiply
    160,470x = 229,221 × 229,221
  4. Step 4: Simplify right side
    160,470x = 52,542,266,841
  5. Step 5: Solve for x
    x = 52,542,266,841/160,470
  6. Step 6: Final answer
    x = 327,427.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.