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Finding the Third Proportional to 163,770 and 358,092

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Solution

The third proportional to 163,770 and 358,092 is: 782,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,770 : 358,092 = 358,092 : x
  2. Step 2: Convert to fraction form
    163,770/358,092 = 358,092/x
  3. Step 3: Cross multiply
    163,770x = 358,092 × 358,092
  4. Step 4: Simplify right side
    163,770x = 128,229,880,464
  5. Step 5: Solve for x
    x = 128,229,880,464/163,770
  6. Step 6: Final answer
    x = 782,987.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.