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Finding the Third Proportional to 161,408 and 240,900

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Solution

The third proportional to 161,408 and 240,900 is: 359,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,408 : 240,900 = 240,900 : x
  2. Step 2: Convert to fraction form
    161,408/240,900 = 240,900/x
  3. Step 3: Cross multiply
    161,408x = 240,900 × 240,900
  4. Step 4: Simplify right side
    161,408x = 58,032,810,000
  5. Step 5: Solve for x
    x = 58,032,810,000/161,408
  6. Step 6: Final answer
    x = 359,541.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.