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Finding the Third Proportional to 191,610 and 290,065

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Solution

The third proportional to 191,610 and 290,065 is: 439,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,610 : 290,065 = 290,065 : x
  2. Step 2: Convert to fraction form
    191,610/290,065 = 290,065/x
  3. Step 3: Cross multiply
    191,610x = 290,065 × 290,065
  4. Step 4: Simplify right side
    191,610x = 84,137,704,225
  5. Step 5: Solve for x
    x = 84,137,704,225/191,610
  6. Step 6: Final answer
    x = 439,109.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.