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Finding the Third Proportional to 120,354.19 and 186,259.50

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Solution

The third proportional to 120,354.19 and 186,259.50 is: 288,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354.19 : 186,259.50 = 186,259.50 : x
  2. Step 2: Convert to fraction form
    120,354.19/186,259.50 = 186,259.50/x
  3. Step 3: Cross multiply
    120,354.19x = 186,259.50 × 186,259.50
  4. Step 4: Simplify right side
    120,354.19x = 34,692,601,340.25
  5. Step 5: Solve for x
    x = 34,692,601,340.25/120,354.19
  6. Step 6: Final answer
    x = 288,254.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.