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Finding the Third Proportional to 152,955.75 and 328,047.75

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Solution

The third proportional to 152,955.75 and 328,047.75 is: 703,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,955.75 : 328,047.75 = 328,047.75 : x
  2. Step 2: Convert to fraction form
    152,955.75/328,047.75 = 328,047.75/x
  3. Step 3: Cross multiply
    152,955.75x = 328,047.75 × 328,047.75
  4. Step 4: Simplify right side
    152,955.75x = 107,615,326,280.06
  5. Step 5: Solve for x
    x = 107,615,326,280.06/152,955.75
  6. Step 6: Final answer
    x = 703,571.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.