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Finding the Third Proportional to 164,382 and 247,518

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Solution

The third proportional to 164,382 and 247,518 is: 372,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,382 : 247,518 = 247,518 : x
  2. Step 2: Convert to fraction form
    164,382/247,518 = 247,518/x
  3. Step 3: Cross multiply
    164,382x = 247,518 × 247,518
  4. Step 4: Simplify right side
    164,382x = 61,265,160,324
  5. Step 5: Solve for x
    x = 61,265,160,324/164,382
  6. Step 6: Final answer
    x = 372,699.93

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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.