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Finding the Third Proportional to 103,688 and 153,344

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Solution

The third proportional to 103,688 and 153,344 is: 226,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,688 : 153,344 = 153,344 : x
  2. Step 2: Convert to fraction form
    103,688/153,344 = 153,344/x
  3. Step 3: Cross multiply
    103,688x = 153,344 × 153,344
  4. Step 4: Simplify right side
    103,688x = 23,514,382,336
  5. Step 5: Solve for x
    x = 23,514,382,336/103,688
  6. Step 6: Final answer
    x = 226,780.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.