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Finding the Third Proportional to 140,510.25 and 214,263

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Solution

The third proportional to 140,510.25 and 214,263 is: 326,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510.25 : 214,263 = 214,263 : x
  2. Step 2: Convert to fraction form
    140,510.25/214,263 = 214,263/x
  3. Step 3: Cross multiply
    140,510.25x = 214,263 × 214,263
  4. Step 4: Simplify right side
    140,510.25x = 45,908,633,169
  5. Step 5: Solve for x
    x = 45,908,633,169/140,510.25
  6. Step 6: Final answer
    x = 326,728.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.