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Finding the Third Proportional to 110,824 and 237,528

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Solution

The third proportional to 110,824 and 237,528 is: 509,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,824 : 237,528 = 237,528 : x
  2. Step 2: Convert to fraction form
    110,824/237,528 = 237,528/x
  3. Step 3: Cross multiply
    110,824x = 237,528 × 237,528
  4. Step 4: Simplify right side
    110,824x = 56,419,550,784
  5. Step 5: Solve for x
    x = 56,419,550,784/110,824
  6. Step 6: Final answer
    x = 509,091.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.