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Finding the Third Proportional to 175,440 and 380,688

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Solution

The third proportional to 175,440 and 380,688 is: 826,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,440 : 380,688 = 380,688 : x
  2. Step 2: Convert to fraction form
    175,440/380,688 = 380,688/x
  3. Step 3: Cross multiply
    175,440x = 380,688 × 380,688
  4. Step 4: Simplify right side
    175,440x = 144,923,353,344
  5. Step 5: Solve for x
    x = 144,923,353,344/175,440
  6. Step 6: Final answer
    x = 826,056.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.