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Finding the Third Proportional to 119,316 and 261,597

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Solution

The third proportional to 119,316 and 261,597 is: 573,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,316 : 261,597 = 261,597 : x
  2. Step 2: Convert to fraction form
    119,316/261,597 = 261,597/x
  3. Step 3: Cross multiply
    119,316x = 261,597 × 261,597
  4. Step 4: Simplify right side
    119,316x = 68,432,990,409
  5. Step 5: Solve for x
    x = 68,432,990,409/119,316
  6. Step 6: Final answer
    x = 573,544.12

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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.