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Finding the Third Proportional to 175,948 and 265,426

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Solution

The third proportional to 175,948 and 265,426 is: 400,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,948 : 265,426 = 265,426 : x
  2. Step 2: Convert to fraction form
    175,948/265,426 = 265,426/x
  3. Step 3: Cross multiply
    175,948x = 265,426 × 265,426
  4. Step 4: Simplify right side
    175,948x = 70,450,961,476
  5. Step 5: Solve for x
    x = 70,450,961,476/175,948
  6. Step 6: Final answer
    x = 400,407.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.