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Finding the Third Proportional to 282,690 and 437,158.50

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Solution

The third proportional to 282,690 and 437,158.50 is: 676,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,690 : 437,158.50 = 437,158.50 : x
  2. Step 2: Convert to fraction form
    282,690/437,158.50 = 437,158.50/x
  3. Step 3: Cross multiply
    282,690x = 437,158.50 × 437,158.50
  4. Step 4: Simplify right side
    282,690x = 191,107,554,122.25
  5. Step 5: Solve for x
    x = 191,107,554,122.25/282,690
  6. Step 6: Final answer
    x = 676,032.24

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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.