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Finding the Third Proportional to 153,188 and 229,944

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Solution

The third proportional to 153,188 and 229,944 is: 345,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,188 : 229,944 = 229,944 : x
  2. Step 2: Convert to fraction form
    153,188/229,944 = 229,944/x
  3. Step 3: Cross multiply
    153,188x = 229,944 × 229,944
  4. Step 4: Simplify right side
    153,188x = 52,874,243,136
  5. Step 5: Solve for x
    x = 52,874,243,136/153,188
  6. Step 6: Final answer
    x = 345,159.17

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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.