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Finding the Third Proportional to 114,480 and 248,664

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Solution

The third proportional to 114,480 and 248,664 is: 540,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,480 : 248,664 = 248,664 : x
  2. Step 2: Convert to fraction form
    114,480/248,664 = 248,664/x
  3. Step 3: Cross multiply
    114,480x = 248,664 × 248,664
  4. Step 4: Simplify right side
    114,480x = 61,833,784,896
  5. Step 5: Solve for x
    x = 61,833,784,896/114,480
  6. Step 6: Final answer
    x = 540,127.40

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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.