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Finding the Third Proportional to 152,931.75 and 336,117.75

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Solution

The third proportional to 152,931.75 and 336,117.75 is: 738,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,931.75 : 336,117.75 = 336,117.75 : x
  2. Step 2: Convert to fraction form
    152,931.75/336,117.75 = 336,117.75/x
  3. Step 3: Cross multiply
    152,931.75x = 336,117.75 × 336,117.75
  4. Step 4: Simplify right side
    152,931.75x = 112,975,141,865.06
  5. Step 5: Solve for x
    x = 112,975,141,865.06/152,931.75
  6. Step 6: Final answer
    x = 738,729.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.