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Finding the Third Proportional to 235,310 and 353,501

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Solution

The third proportional to 235,310 and 353,501 is: 531,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,310 : 353,501 = 353,501 : x
  2. Step 2: Convert to fraction form
    235,310/353,501 = 353,501/x
  3. Step 3: Cross multiply
    235,310x = 353,501 × 353,501
  4. Step 4: Simplify right side
    235,310x = 124,962,957,001
  5. Step 5: Solve for x
    x = 124,962,957,001/235,310
  6. Step 6: Final answer
    x = 531,056.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.