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Finding the Third Proportional to 194,322.50 and 420,475

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Solution

The third proportional to 194,322.50 and 420,475 is: 909,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322.50 : 420,475 = 420,475 : x
  2. Step 2: Convert to fraction form
    194,322.50/420,475 = 420,475/x
  3. Step 3: Cross multiply
    194,322.50x = 420,475 × 420,475
  4. Step 4: Simplify right side
    194,322.50x = 176,799,225,625
  5. Step 5: Solve for x
    x = 176,799,225,625/194,322.50
  6. Step 6: Final answer
    x = 909,823.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.