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Finding the Third Proportional to 170,742 and 245,962.50

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Solution

The third proportional to 170,742 and 245,962.50 is: 354,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742 : 245,962.50 = 245,962.50 : x
  2. Step 2: Convert to fraction form
    170,742/245,962.50 = 245,962.50/x
  3. Step 3: Cross multiply
    170,742x = 245,962.50 × 245,962.50
  4. Step 4: Simplify right side
    170,742x = 60,497,551,406.25
  5. Step 5: Solve for x
    x = 60,497,551,406.25/170,742
  6. Step 6: Final answer
    x = 354,321.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.