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Finding the Third Proportional to 134,912 and 216,768

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Solution

The third proportional to 134,912 and 216,768 is: 348,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,912 : 216,768 = 216,768 : x
  2. Step 2: Convert to fraction form
    134,912/216,768 = 216,768/x
  3. Step 3: Cross multiply
    134,912x = 216,768 × 216,768
  4. Step 4: Simplify right side
    134,912x = 46,988,365,824
  5. Step 5: Solve for x
    x = 46,988,365,824/134,912
  6. Step 6: Final answer
    x = 348,289.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.