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Finding the Third Proportional to 176,365.13 and 383,530.50

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Solution

The third proportional to 176,365.13 and 383,530.50 is: 834,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,365.13 : 383,530.50 = 383,530.50 : x
  2. Step 2: Convert to fraction form
    176,365.13/383,530.50 = 383,530.50/x
  3. Step 3: Cross multiply
    176,365.13x = 383,530.50 × 383,530.50
  4. Step 4: Simplify right side
    176,365.13x = 147,095,644,430.25
  5. Step 5: Solve for x
    x = 147,095,644,430.25/176,365.13
  6. Step 6: Final answer
    x = 834,040.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.