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Finding the Third Proportional to 315,130.50 and 453,012

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Solution

The third proportional to 315,130.50 and 453,012 is: 651,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,130.50 : 453,012 = 453,012 : x
  2. Step 2: Convert to fraction form
    315,130.50/453,012 = 453,012/x
  3. Step 3: Cross multiply
    315,130.50x = 453,012 × 453,012
  4. Step 4: Simplify right side
    315,130.50x = 205,219,872,144
  5. Step 5: Solve for x
    x = 205,219,872,144/315,130.50
  6. Step 6: Final answer
    x = 651,221.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.