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Finding the Third Proportional to 265,295 and 546,142

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Solution

The third proportional to 265,295 and 546,142 is: 1,124,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,295 : 546,142 = 546,142 : x
  2. Step 2: Convert to fraction form
    265,295/546,142 = 546,142/x
  3. Step 3: Cross multiply
    265,295x = 546,142 × 546,142
  4. Step 4: Simplify right side
    265,295x = 298,271,084,164
  5. Step 5: Solve for x
    x = 298,271,084,164/265,295
  6. Step 6: Final answer
    x = 1,124,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.