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Finding the Third Proportional to 150,547.50 and 233,385

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Solution

The third proportional to 150,547.50 and 233,385 is: 361,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.50 : 233,385 = 233,385 : x
  2. Step 2: Convert to fraction form
    150,547.50/233,385 = 233,385/x
  3. Step 3: Cross multiply
    150,547.50x = 233,385 × 233,385
  4. Step 4: Simplify right side
    150,547.50x = 54,468,558,225
  5. Step 5: Solve for x
    x = 54,468,558,225/150,547.50
  6. Step 6: Final answer
    x = 361,803.14

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