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Finding the Third Proportional to 152,968.50 and 334,833.75

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Solution

The third proportional to 152,968.50 and 334,833.75 is: 732,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,968.50 : 334,833.75 = 334,833.75 : x
  2. Step 2: Convert to fraction form
    152,968.50/334,833.75 = 334,833.75/x
  3. Step 3: Cross multiply
    152,968.50x = 334,833.75 × 334,833.75
  4. Step 4: Simplify right side
    152,968.50x = 112,113,640,139.06
  5. Step 5: Solve for x
    x = 112,113,640,139.06/152,968.50
  6. Step 6: Final answer
    x = 732,919.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.