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Finding the Third Proportional to 94,628 and 207,688

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Solution

The third proportional to 94,628 and 207,688 is: 455,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,628 : 207,688 = 207,688 : x
  2. Step 2: Convert to fraction form
    94,628/207,688 = 207,688/x
  3. Step 3: Cross multiply
    94,628x = 207,688 × 207,688
  4. Step 4: Simplify right side
    94,628x = 43,134,305,344
  5. Step 5: Solve for x
    x = 43,134,305,344/94,628
  6. Step 6: Final answer
    x = 455,830.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.