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Finding the Third Proportional to 114,473 and 248,640

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Solution

The third proportional to 114,473 and 248,640 is: 540,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,473 : 248,640 = 248,640 : x
  2. Step 2: Convert to fraction form
    114,473/248,640 = 248,640/x
  3. Step 3: Cross multiply
    114,473x = 248,640 × 248,640
  4. Step 4: Simplify right side
    114,473x = 61,821,849,600
  5. Step 5: Solve for x
    x = 61,821,849,600/114,473
  6. Step 6: Final answer
    x = 540,056.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.