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Finding the Third Proportional to 292,153.50 and 437,069.25

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Solution

The third proportional to 292,153.50 and 437,069.25 is: 653,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,153.50 : 437,069.25 = 437,069.25 : x
  2. Step 2: Convert to fraction form
    292,153.50/437,069.25 = 437,069.25/x
  3. Step 3: Cross multiply
    292,153.50x = 437,069.25 × 437,069.25
  4. Step 4: Simplify right side
    292,153.50x = 191,029,529,295.56
  5. Step 5: Solve for x
    x = 191,029,529,295.56/292,153.50
  6. Step 6: Final answer
    x = 653,866.99

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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.