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Finding the Third Proportional to 147,276 and 226,702

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Solution

The third proportional to 147,276 and 226,702 is: 348,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,276 : 226,702 = 226,702 : x
  2. Step 2: Convert to fraction form
    147,276/226,702 = 226,702/x
  3. Step 3: Cross multiply
    147,276x = 226,702 × 226,702
  4. Step 4: Simplify right side
    147,276x = 51,393,796,804
  5. Step 5: Solve for x
    x = 51,393,796,804/147,276
  6. Step 6: Final answer
    x = 348,962.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.