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Finding the Third Proportional to 113,748 and 240,608

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Solution

The third proportional to 113,748 and 240,608 is: 508,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,748 : 240,608 = 240,608 : x
  2. Step 2: Convert to fraction form
    113,748/240,608 = 240,608/x
  3. Step 3: Cross multiply
    113,748x = 240,608 × 240,608
  4. Step 4: Simplify right side
    113,748x = 57,892,209,664
  5. Step 5: Solve for x
    x = 57,892,209,664/113,748
  6. Step 6: Final answer
    x = 508,951.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.