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Finding the Third Proportional to 150,547.50 and 233,385.19

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Solution

The third proportional to 150,547.50 and 233,385.19 is: 361,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.50 : 233,385.19 = 233,385.19 : x
  2. Step 2: Convert to fraction form
    150,547.50/233,385.19 = 233,385.19/x
  3. Step 3: Cross multiply
    150,547.50x = 233,385.19 × 233,385.19
  4. Step 4: Simplify right side
    150,547.50x = 54,468,645,744.41
  5. Step 5: Solve for x
    x = 54,468,645,744.41/150,547.50
  6. Step 6: Final answer
    x = 361,803.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.