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Finding the Third Proportional to 178,212 and 250,740

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Solution

The third proportional to 178,212 and 250,740 is: 352,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,212 : 250,740 = 250,740 : x
  2. Step 2: Convert to fraction form
    178,212/250,740 = 250,740/x
  3. Step 3: Cross multiply
    178,212x = 250,740 × 250,740
  4. Step 4: Simplify right side
    178,212x = 62,870,547,600
  5. Step 5: Solve for x
    x = 62,870,547,600/178,212
  6. Step 6: Final answer
    x = 352,785.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.