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Finding the Third Proportional to 105,280 and 233,888

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Solution

The third proportional to 105,280 and 233,888 is: 519,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280 : 233,888 = 233,888 : x
  2. Step 2: Convert to fraction form
    105,280/233,888 = 233,888/x
  3. Step 3: Cross multiply
    105,280x = 233,888 × 233,888
  4. Step 4: Simplify right side
    105,280x = 54,703,596,544
  5. Step 5: Solve for x
    x = 54,703,596,544/105,280
  6. Step 6: Final answer
    x = 519,601.03

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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.