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Finding the Third Proportional to 243,060.19 and 350,137.13

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Solution

The third proportional to 243,060.19 and 350,137.13 is: 504,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,060.19 : 350,137.13 = 350,137.13 : x
  2. Step 2: Convert to fraction form
    243,060.19/350,137.13 = 350,137.13/x
  3. Step 3: Cross multiply
    243,060.19x = 350,137.13 × 350,137.13
  4. Step 4: Simplify right side
    243,060.19x = 122,596,006,303.27
  5. Step 5: Solve for x
    x = 122,596,006,303.27/243,060.19
  6. Step 6: Final answer
    x = 504,385.39

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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.