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Finding the Third Proportional to 152,615 and 233,460

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Solution

The third proportional to 152,615 and 233,460 is: 357,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615 : 233,460 = 233,460 : x
  2. Step 2: Convert to fraction form
    152,615/233,460 = 233,460/x
  3. Step 3: Cross multiply
    152,615x = 233,460 × 233,460
  4. Step 4: Simplify right side
    152,615x = 54,503,571,600
  5. Step 5: Solve for x
    x = 54,503,571,600/152,615
  6. Step 6: Final answer
    x = 357,131.16

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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.