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Finding the Third Proportional to 147,001.50 and 226,246.50

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Solution

The third proportional to 147,001.50 and 226,246.50 is: 348,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,001.50 : 226,246.50 = 226,246.50 : x
  2. Step 2: Convert to fraction form
    147,001.50/226,246.50 = 226,246.50/x
  3. Step 3: Cross multiply
    147,001.50x = 226,246.50 × 226,246.50
  4. Step 4: Simplify right side
    147,001.50x = 51,187,478,762.25
  5. Step 5: Solve for x
    x = 51,187,478,762.25/147,001.50
  6. Step 6: Final answer
    x = 348,210.59

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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.