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Finding the Third Proportional to 165,307.08 and 247,319.89

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Solution

The third proportional to 165,307.08 and 247,319.89 is: 370,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,307.08 : 247,319.89 = 247,319.89 : x
  2. Step 2: Convert to fraction form
    165,307.08/247,319.89 = 247,319.89/x
  3. Step 3: Cross multiply
    165,307.08x = 247,319.89 × 247,319.89
  4. Step 4: Simplify right side
    165,307.08x = 61,167,130,230.94
  5. Step 5: Solve for x
    x = 61,167,130,230.94/165,307.08
  6. Step 6: Final answer
    x = 370,021.24

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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.