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Finding the Third Proportional to 156,569.63 and 348,997.50

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Solution

The third proportional to 156,569.63 and 348,997.50 is: 777,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,569.63 : 348,997.50 = 348,997.50 : x
  2. Step 2: Convert to fraction form
    156,569.63/348,997.50 = 348,997.50/x
  3. Step 3: Cross multiply
    156,569.63x = 348,997.50 × 348,997.50
  4. Step 4: Simplify right side
    156,569.63x = 121,799,255,006.25
  5. Step 5: Solve for x
    x = 121,799,255,006.25/156,569.63
  6. Step 6: Final answer
    x = 777,923.91

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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.