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Finding the Third Proportional to 155,437.50 and 233,733

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Solution

The third proportional to 155,437.50 and 233,733 is: 351,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,437.50 : 233,733 = 233,733 : x
  2. Step 2: Convert to fraction form
    155,437.50/233,733 = 233,733/x
  3. Step 3: Cross multiply
    155,437.50x = 233,733 × 233,733
  4. Step 4: Simplify right side
    155,437.50x = 54,631,115,289
  5. Step 5: Solve for x
    x = 54,631,115,289/155,437.50
  6. Step 6: Final answer
    x = 351,466.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.