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Finding the Third Proportional to 119,260 and 255,220

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Solution

The third proportional to 119,260 and 255,220 is: 546,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,260 : 255,220 = 255,220 : x
  2. Step 2: Convert to fraction form
    119,260/255,220 = 255,220/x
  3. Step 3: Cross multiply
    119,260x = 255,220 × 255,220
  4. Step 4: Simplify right side
    119,260x = 65,137,248,400
  5. Step 5: Solve for x
    x = 65,137,248,400/119,260
  6. Step 6: Final answer
    x = 546,178.50

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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.