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Finding the Third Proportional to 152,931.38 and 332,133.75

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Solution

The third proportional to 152,931.38 and 332,133.75 is: 721,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,931.38 : 332,133.75 = 332,133.75 : x
  2. Step 2: Convert to fraction form
    152,931.38/332,133.75 = 332,133.75/x
  3. Step 3: Cross multiply
    152,931.38x = 332,133.75 × 332,133.75
  4. Step 4: Simplify right side
    152,931.38x = 110,312,827,889.06
  5. Step 5: Solve for x
    x = 110,312,827,889.06/152,931.38
  6. Step 6: Final answer
    x = 721,322.41

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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.