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Finding the Third Proportional to 74,376.09 and 163,514.39

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Solution

The third proportional to 74,376.09 and 163,514.39 is: 359,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,376.09 : 163,514.39 = 163,514.39 : x
  2. Step 2: Convert to fraction form
    74,376.09/163,514.39 = 163,514.39/x
  3. Step 3: Cross multiply
    74,376.09x = 163,514.39 × 163,514.39
  4. Step 4: Simplify right side
    74,376.09x = 26,736,955,941.47
  5. Step 5: Solve for x
    x = 26,736,955,941.47/74,376.09
  6. Step 6: Final answer
    x = 359,483.20

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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.