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Finding the Third Proportional to 163,960 and 247,440

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Solution

The third proportional to 163,960 and 247,440 is: 373,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,960 : 247,440 = 247,440 : x
  2. Step 2: Convert to fraction form
    163,960/247,440 = 247,440/x
  3. Step 3: Cross multiply
    163,960x = 247,440 × 247,440
  4. Step 4: Simplify right side
    163,960x = 61,226,553,600
  5. Step 5: Solve for x
    x = 61,226,553,600/163,960
  6. Step 6: Final answer
    x = 373,423.72

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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.