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Finding the Third Proportional to 145,734.50 and 218,737

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Solution

The third proportional to 145,734.50 and 218,737 is: 328,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,734.50 : 218,737 = 218,737 : x
  2. Step 2: Convert to fraction form
    145,734.50/218,737 = 218,737/x
  3. Step 3: Cross multiply
    145,734.50x = 218,737 × 218,737
  4. Step 4: Simplify right side
    145,734.50x = 47,845,875,169
  5. Step 5: Solve for x
    x = 47,845,875,169/145,734.50
  6. Step 6: Final answer
    x = 328,308.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.