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Finding the Third Proportional to 175,684 and 265,070

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Solution

The third proportional to 175,684 and 265,070 is: 399,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,684 : 265,070 = 265,070 : x
  2. Step 2: Convert to fraction form
    175,684/265,070 = 265,070/x
  3. Step 3: Cross multiply
    175,684x = 265,070 × 265,070
  4. Step 4: Simplify right side
    175,684x = 70,262,104,900
  5. Step 5: Solve for x
    x = 70,262,104,900/175,684
  6. Step 6: Final answer
    x = 399,934.57

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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.