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Finding the Third Proportional to 155,146 and 237,231

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Solution

The third proportional to 155,146 and 237,231 is: 362,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,146 : 237,231 = 237,231 : x
  2. Step 2: Convert to fraction form
    155,146/237,231 = 237,231/x
  3. Step 3: Cross multiply
    155,146x = 237,231 × 237,231
  4. Step 4: Simplify right side
    155,146x = 56,278,547,361
  5. Step 5: Solve for x
    x = 56,278,547,361/155,146
  6. Step 6: Final answer
    x = 362,745.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.