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Finding the Third Proportional to 245,291 and 359,860

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Solution

The third proportional to 245,291 and 359,860 is: 527,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,291 : 359,860 = 359,860 : x
  2. Step 2: Convert to fraction form
    245,291/359,860 = 359,860/x
  3. Step 3: Cross multiply
    245,291x = 359,860 × 359,860
  4. Step 4: Simplify right side
    245,291x = 129,499,219,600
  5. Step 5: Solve for x
    x = 129,499,219,600/245,291
  6. Step 6: Final answer
    x = 527,941.18

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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.