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Finding the Third Proportional to 119,574 and 256,320

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Solution

The third proportional to 119,574 and 256,320 is: 549,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574 : 256,320 = 256,320 : x
  2. Step 2: Convert to fraction form
    119,574/256,320 = 256,320/x
  3. Step 3: Cross multiply
    119,574x = 256,320 × 256,320
  4. Step 4: Simplify right side
    119,574x = 65,699,942,400
  5. Step 5: Solve for x
    x = 65,699,942,400/119,574
  6. Step 6: Final answer
    x = 549,450.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.