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Finding the Third Proportional to 165,255.19 and 242,574.75

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Solution

The third proportional to 165,255.19 and 242,574.75 is: 356,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,255.19 : 242,574.75 = 242,574.75 : x
  2. Step 2: Convert to fraction form
    165,255.19/242,574.75 = 242,574.75/x
  3. Step 3: Cross multiply
    165,255.19x = 242,574.75 × 242,574.75
  4. Step 4: Simplify right side
    165,255.19x = 58,842,509,337.56
  5. Step 5: Solve for x
    x = 58,842,509,337.56/165,255.19
  6. Step 6: Final answer
    x = 356,070.57

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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.