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Finding the Third Proportional to 119,974 and 262,547

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Solution

The third proportional to 119,974 and 262,547 is: 574,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,974 : 262,547 = 262,547 : x
  2. Step 2: Convert to fraction form
    119,974/262,547 = 262,547/x
  3. Step 3: Cross multiply
    119,974x = 262,547 × 262,547
  4. Step 4: Simplify right side
    119,974x = 68,930,927,209
  5. Step 5: Solve for x
    x = 68,930,927,209/119,974
  6. Step 6: Final answer
    x = 574,548.88

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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.