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Finding the Third Proportional to 161,521 and 237,617

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Solution

The third proportional to 161,521 and 237,617 is: 349,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,521 : 237,617 = 237,617 : x
  2. Step 2: Convert to fraction form
    161,521/237,617 = 237,617/x
  3. Step 3: Cross multiply
    161,521x = 237,617 × 237,617
  4. Step 4: Simplify right side
    161,521x = 56,461,838,689
  5. Step 5: Solve for x
    x = 56,461,838,689/161,521
  6. Step 6: Final answer
    x = 349,563.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.