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Finding the Third Proportional to 158,688 and 245,870

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Solution

The third proportional to 158,688 and 245,870 is: 380,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,688 : 245,870 = 245,870 : x
  2. Step 2: Convert to fraction form
    158,688/245,870 = 245,870/x
  3. Step 3: Cross multiply
    158,688x = 245,870 × 245,870
  4. Step 4: Simplify right side
    158,688x = 60,452,056,900
  5. Step 5: Solve for x
    x = 60,452,056,900/158,688
  6. Step 6: Final answer
    x = 380,949.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.