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Finding the Third Proportional to 134,146 and 284,284

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Solution

The third proportional to 134,146 and 284,284 is: 602,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,146 : 284,284 = 284,284 : x
  2. Step 2: Convert to fraction form
    134,146/284,284 = 284,284/x
  3. Step 3: Cross multiply
    134,146x = 284,284 × 284,284
  4. Step 4: Simplify right side
    134,146x = 80,817,392,656
  5. Step 5: Solve for x
    x = 80,817,392,656/134,146
  6. Step 6: Final answer
    x = 602,458.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.