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Finding the Third Proportional to 245,355.75 and 369,262.13

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Solution

The third proportional to 245,355.75 and 369,262.13 is: 555,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,355.75 : 369,262.13 = 369,262.13 : x
  2. Step 2: Convert to fraction form
    245,355.75/369,262.13 = 369,262.13/x
  3. Step 3: Cross multiply
    245,355.75x = 369,262.13 × 369,262.13
  4. Step 4: Simplify right side
    245,355.75x = 136,354,516,959.52
  5. Step 5: Solve for x
    x = 136,354,516,959.52/245,355.75
  6. Step 6: Final answer
    x = 555,742.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.