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Finding the Third Proportional to 144,076.10 and 316,177.41

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Solution

The third proportional to 144,076.10 and 316,177.41 is: 693,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,076.10 : 316,177.41 = 316,177.41 : x
  2. Step 2: Convert to fraction form
    144,076.10/316,177.41 = 316,177.41/x
  3. Step 3: Cross multiply
    144,076.10x = 316,177.41 × 316,177.41
  4. Step 4: Simplify right side
    144,076.10x = 99,968,154,075.57
  5. Step 5: Solve for x
    x = 99,968,154,075.57/144,076.10
  6. Step 6: Final answer
    x = 693,856.61

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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.