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Finding the Third Proportional to 153,346.29 and 219,504.46

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Solution

The third proportional to 153,346.29 and 219,504.46 is: 314,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,346.29 : 219,504.46 = 219,504.46 : x
  2. Step 2: Convert to fraction form
    153,346.29/219,504.46 = 219,504.46/x
  3. Step 3: Cross multiply
    153,346.29x = 219,504.46 × 219,504.46
  4. Step 4: Simplify right side
    153,346.29x = 48,182,209,228.90
  5. Step 5: Solve for x
    x = 48,182,209,228.90/153,346.29
  6. Step 6: Final answer
    x = 314,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.