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Finding the Third Proportional to 241,260.19 and 354,407.06

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Solution

The third proportional to 241,260.19 and 354,407.06 is: 520,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,260.19 : 354,407.06 = 354,407.06 : x
  2. Step 2: Convert to fraction form
    241,260.19/354,407.06 = 354,407.06/x
  3. Step 3: Cross multiply
    241,260.19x = 354,407.06 × 354,407.06
  4. Step 4: Simplify right side
    241,260.19x = 125,604,365,949.88
  5. Step 5: Solve for x
    x = 125,604,365,949.88/241,260.19
  6. Step 6: Final answer
    x = 520,617.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.