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Finding the Third Proportional to 156,572.50 and 349,003

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Solution

The third proportional to 156,572.50 and 349,003 is: 777,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,572.50 : 349,003 = 349,003 : x
  2. Step 2: Convert to fraction form
    156,572.50/349,003 = 349,003/x
  3. Step 3: Cross multiply
    156,572.50x = 349,003 × 349,003
  4. Step 4: Simplify right side
    156,572.50x = 121,803,094,009
  5. Step 5: Solve for x
    x = 121,803,094,009/156,572.50
  6. Step 6: Final answer
    x = 777,934.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.