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Finding the Third Proportional to 282,692.25 and 437,161.50

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Solution

The third proportional to 282,692.25 and 437,161.50 is: 676,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,692.25 : 437,161.50 = 437,161.50 : x
  2. Step 2: Convert to fraction form
    282,692.25/437,161.50 = 437,161.50/x
  3. Step 3: Cross multiply
    282,692.25x = 437,161.50 × 437,161.50
  4. Step 4: Simplify right side
    282,692.25x = 191,110,177,082.25
  5. Step 5: Solve for x
    x = 191,110,177,082.25/282,692.25
  6. Step 6: Final answer
    x = 676,036.14

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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.