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Finding the Third Proportional to 152,798.74 and 331,869.51

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Solution

The third proportional to 152,798.74 and 331,869.51 is: 720,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,798.74 : 331,869.51 = 331,869.51 : x
  2. Step 2: Convert to fraction form
    152,798.74/331,869.51 = 331,869.51/x
  3. Step 3: Cross multiply
    152,798.74x = 331,869.51 × 331,869.51
  4. Step 4: Simplify right side
    152,798.74x = 110,137,370,296.74
  5. Step 5: Solve for x
    x = 110,137,370,296.74/152,798.74
  6. Step 6: Final answer
    x = 720,800.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.