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Finding the Third Proportional to 165,362 and 247,572

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Solution

The third proportional to 165,362 and 247,572 is: 370,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,362 : 247,572 = 247,572 : x
  2. Step 2: Convert to fraction form
    165,362/247,572 = 247,572/x
  3. Step 3: Cross multiply
    165,362x = 247,572 × 247,572
  4. Step 4: Simplify right side
    165,362x = 61,291,895,184
  5. Step 5: Solve for x
    x = 61,291,895,184/165,362
  6. Step 6: Final answer
    x = 370,652.84

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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.