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Finding the Third Proportional to 165,321 and 247,341.50

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Solution

The third proportional to 165,321 and 247,341.50 is: 370,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,321 : 247,341.50 = 247,341.50 : x
  2. Step 2: Convert to fraction form
    165,321/247,341.50 = 247,341.50/x
  3. Step 3: Cross multiply
    165,321x = 247,341.50 × 247,341.50
  4. Step 4: Simplify right side
    165,321x = 61,177,817,622.25
  5. Step 5: Solve for x
    x = 61,177,817,622.25/165,321
  6. Step 6: Final answer
    x = 370,054.73

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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.