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Finding the Third Proportional to 157,628 and 350,248

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Solution

The third proportional to 157,628 and 350,248 is: 778,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,628 : 350,248 = 350,248 : x
  2. Step 2: Convert to fraction form
    157,628/350,248 = 350,248/x
  3. Step 3: Cross multiply
    157,628x = 350,248 × 350,248
  4. Step 4: Simplify right side
    157,628x = 122,673,661,504
  5. Step 5: Solve for x
    x = 122,673,661,504/157,628
  6. Step 6: Final answer
    x = 778,247.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.