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Finding the Third Proportional to 225,360 and 348,792

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Solution

The third proportional to 225,360 and 348,792 is: 539,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,360 : 348,792 = 348,792 : x
  2. Step 2: Convert to fraction form
    225,360/348,792 = 348,792/x
  3. Step 3: Cross multiply
    225,360x = 348,792 × 348,792
  4. Step 4: Simplify right side
    225,360x = 121,655,859,264
  5. Step 5: Solve for x
    x = 121,655,859,264/225,360
  6. Step 6: Final answer
    x = 539,828.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.