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Finding the Third Proportional to 199,792.50 and 425,011.50

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Solution

The third proportional to 199,792.50 and 425,011.50 is: 904,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,792.50 : 425,011.50 = 425,011.50 : x
  2. Step 2: Convert to fraction form
    199,792.50/425,011.50 = 425,011.50/x
  3. Step 3: Cross multiply
    199,792.50x = 425,011.50 × 425,011.50
  4. Step 4: Simplify right side
    199,792.50x = 180,634,775,132.25
  5. Step 5: Solve for x
    x = 180,634,775,132.25/199,792.50
  6. Step 6: Final answer
    x = 904,111.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.