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Finding the Third Proportional to 163,164 and 348,792

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Solution

The third proportional to 163,164 and 348,792 is: 745,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,164 : 348,792 = 348,792 : x
  2. Step 2: Convert to fraction form
    163,164/348,792 = 348,792/x
  3. Step 3: Cross multiply
    163,164x = 348,792 × 348,792
  4. Step 4: Simplify right side
    163,164x = 121,655,859,264
  5. Step 5: Solve for x
    x = 121,655,859,264/163,164
  6. Step 6: Final answer
    x = 745,604.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.