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Finding the Third Proportional to 229,382 and 316,964

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Solution

The third proportional to 229,382 and 316,964 is: 437,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,382 : 316,964 = 316,964 : x
  2. Step 2: Convert to fraction form
    229,382/316,964 = 316,964/x
  3. Step 3: Cross multiply
    229,382x = 316,964 × 316,964
  4. Step 4: Simplify right side
    229,382x = 100,466,177,296
  5. Step 5: Solve for x
    x = 100,466,177,296/229,382
  6. Step 6: Final answer
    x = 437,986.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.