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Finding the Third Proportional to 193,562.50 and 417,740

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Solution

The third proportional to 193,562.50 and 417,740 is: 901,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,562.50 : 417,740 = 417,740 : x
  2. Step 2: Convert to fraction form
    193,562.50/417,740 = 417,740/x
  3. Step 3: Cross multiply
    193,562.50x = 417,740 × 417,740
  4. Step 4: Simplify right side
    193,562.50x = 174,506,707,600
  5. Step 5: Solve for x
    x = 174,506,707,600/193,562.50
  6. Step 6: Final answer
    x = 901,552.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.