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Finding the Third Proportional to 144,672.19 and 316,927.50

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Solution

The third proportional to 144,672.19 and 316,927.50 is: 694,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,672.19 : 316,927.50 = 316,927.50 : x
  2. Step 2: Convert to fraction form
    144,672.19/316,927.50 = 316,927.50/x
  3. Step 3: Cross multiply
    144,672.19x = 316,927.50 × 316,927.50
  4. Step 4: Simplify right side
    144,672.19x = 100,443,040,256.25
  5. Step 5: Solve for x
    x = 100,443,040,256.25/144,672.19
  6. Step 6: Final answer
    x = 694,280.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.