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Finding the Third Proportional to 194,948.25 and 426,585

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Solution

The third proportional to 194,948.25 and 426,585 is: 933,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,948.25 : 426,585 = 426,585 : x
  2. Step 2: Convert to fraction form
    194,948.25/426,585 = 426,585/x
  3. Step 3: Cross multiply
    194,948.25x = 426,585 × 426,585
  4. Step 4: Simplify right side
    194,948.25x = 181,974,762,225
  5. Step 5: Solve for x
    x = 181,974,762,225/194,948.25
  6. Step 6: Final answer
    x = 933,451.63

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