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Finding the Third Proportional to 152,964 and 331,348.50

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Solution

The third proportional to 152,964 and 331,348.50 is: 717,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,964 : 331,348.50 = 331,348.50 : x
  2. Step 2: Convert to fraction form
    152,964/331,348.50 = 331,348.50/x
  3. Step 3: Cross multiply
    152,964x = 331,348.50 × 331,348.50
  4. Step 4: Simplify right side
    152,964x = 109,791,828,452.25
  5. Step 5: Solve for x
    x = 109,791,828,452.25/152,964
  6. Step 6: Final answer
    x = 717,762.54

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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.