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Finding the Third Proportional to 153,006 and 233,892

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Solution

The third proportional to 153,006 and 233,892 is: 357,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,006 : 233,892 = 233,892 : x
  2. Step 2: Convert to fraction form
    153,006/233,892 = 233,892/x
  3. Step 3: Cross multiply
    153,006x = 233,892 × 233,892
  4. Step 4: Simplify right side
    153,006x = 54,705,467,664
  5. Step 5: Solve for x
    x = 54,705,467,664/153,006
  6. Step 6: Final answer
    x = 357,538.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.