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Finding the Third Proportional to 140,264.16 and 304,038.56

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Solution

The third proportional to 140,264.16 and 304,038.56 is: 659,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,264.16 : 304,038.56 = 304,038.56 : x
  2. Step 2: Convert to fraction form
    140,264.16/304,038.56 = 304,038.56/x
  3. Step 3: Cross multiply
    140,264.16x = 304,038.56 × 304,038.56
  4. Step 4: Simplify right side
    140,264.16x = 92,439,447,487.07
  5. Step 5: Solve for x
    x = 92,439,447,487.07/140,264.16
  6. Step 6: Final answer
    x = 659,038.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.