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Finding the Third Proportional to 235,076 and 330,316

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Solution

The third proportional to 235,076 and 330,316 is: 464,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,076 : 330,316 = 330,316 : x
  2. Step 2: Convert to fraction form
    235,076/330,316 = 330,316/x
  3. Step 3: Cross multiply
    235,076x = 330,316 × 330,316
  4. Step 4: Simplify right side
    235,076x = 109,108,659,856
  5. Step 5: Solve for x
    x = 109,108,659,856/235,076
  6. Step 6: Final answer
    x = 464,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.