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Finding the Third Proportional to 176,214.38 and 264,712.50

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Solution

The third proportional to 176,214.38 and 264,712.50 is: 397,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,214.38 : 264,712.50 = 264,712.50 : x
  2. Step 2: Convert to fraction form
    176,214.38/264,712.50 = 264,712.50/x
  3. Step 3: Cross multiply
    176,214.38x = 264,712.50 × 264,712.50
  4. Step 4: Simplify right side
    176,214.38x = 70,072,707,656.25
  5. Step 5: Solve for x
    x = 70,072,707,656.25/176,214.38
  6. Step 6: Final answer
    x = 397,656.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.