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Finding the Third Proportional to 119,590 and 256,352

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Solution

The third proportional to 119,590 and 256,352 is: 549,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,590 : 256,352 = 256,352 : x
  2. Step 2: Convert to fraction form
    119,590/256,352 = 256,352/x
  3. Step 3: Cross multiply
    119,590x = 256,352 × 256,352
  4. Step 4: Simplify right side
    119,590x = 65,716,347,904
  5. Step 5: Solve for x
    x = 65,716,347,904/119,590
  6. Step 6: Final answer
    x = 549,513.74

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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.