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Finding the Third Proportional to 74,386 and 163,514

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Solution

The third proportional to 74,386 and 163,514 is: 359,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,386 : 163,514 = 163,514 : x
  2. Step 2: Convert to fraction form
    74,386/163,514 = 163,514/x
  3. Step 3: Cross multiply
    74,386x = 163,514 × 163,514
  4. Step 4: Simplify right side
    74,386x = 26,736,828,196
  5. Step 5: Solve for x
    x = 26,736,828,196/74,386
  6. Step 6: Final answer
    x = 359,433.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.