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Finding the Third Proportional to 165,549.50 and 368,572

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Solution

The third proportional to 165,549.50 and 368,572 is: 820,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,549.50 : 368,572 = 368,572 : x
  2. Step 2: Convert to fraction form
    165,549.50/368,572 = 368,572/x
  3. Step 3: Cross multiply
    165,549.50x = 368,572 × 368,572
  4. Step 4: Simplify right side
    165,549.50x = 135,845,319,184
  5. Step 5: Solve for x
    x = 135,845,319,184/165,549.50
  6. Step 6: Final answer
    x = 820,572.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.