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Finding the Third Proportional to 107,402 and 233,264

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Solution

The third proportional to 107,402 and 233,264 is: 506,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402 : 233,264 = 233,264 : x
  2. Step 2: Convert to fraction form
    107,402/233,264 = 233,264/x
  3. Step 3: Cross multiply
    107,402x = 233,264 × 233,264
  4. Step 4: Simplify right side
    107,402x = 54,412,093,696
  5. Step 5: Solve for x
    x = 54,412,093,696/107,402
  6. Step 6: Final answer
    x = 506,620.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.