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Finding the Third Proportional to 194,491.13 and 287,259.75

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Solution

The third proportional to 194,491.13 and 287,259.75 is: 424,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,491.13 : 287,259.75 = 287,259.75 : x
  2. Step 2: Convert to fraction form
    194,491.13/287,259.75 = 287,259.75/x
  3. Step 3: Cross multiply
    194,491.13x = 287,259.75 × 287,259.75
  4. Step 4: Simplify right side
    194,491.13x = 82,518,163,970.06
  5. Step 5: Solve for x
    x = 82,518,163,970.06/194,491.13
  6. Step 6: Final answer
    x = 424,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.