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Finding the Third Proportional to 128,155.50 and 296,682

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Solution

The third proportional to 128,155.50 and 296,682 is: 686,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,155.50 : 296,682 = 296,682 : x
  2. Step 2: Convert to fraction form
    128,155.50/296,682 = 296,682/x
  3. Step 3: Cross multiply
    128,155.50x = 296,682 × 296,682
  4. Step 4: Simplify right side
    128,155.50x = 88,020,209,124
  5. Step 5: Solve for x
    x = 88,020,209,124/128,155.50
  6. Step 6: Final answer
    x = 686,823.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.