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Finding the Third Proportional to 119,580 and 256,332

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Solution

The third proportional to 119,580 and 256,332 is: 549,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,580 : 256,332 = 256,332 : x
  2. Step 2: Convert to fraction form
    119,580/256,332 = 256,332/x
  3. Step 3: Cross multiply
    119,580x = 256,332 × 256,332
  4. Step 4: Simplify right side
    119,580x = 65,706,094,224
  5. Step 5: Solve for x
    x = 65,706,094,224/119,580
  6. Step 6: Final answer
    x = 549,473.94

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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.