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Finding the Third Proportional to 147,827.50 and 227,533

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Solution

The third proportional to 147,827.50 and 227,533 is: 350,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,827.50 : 227,533 = 227,533 : x
  2. Step 2: Convert to fraction form
    147,827.50/227,533 = 227,533/x
  3. Step 3: Cross multiply
    147,827.50x = 227,533 × 227,533
  4. Step 4: Simplify right side
    147,827.50x = 51,771,266,089
  5. Step 5: Solve for x
    x = 51,771,266,089/147,827.50
  6. Step 6: Final answer
    x = 350,214.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.