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Finding the Third Proportional to 98,784 and 233,048

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Solution

The third proportional to 98,784 and 233,048 is: 549,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784 : 233,048 = 233,048 : x
  2. Step 2: Convert to fraction form
    98,784/233,048 = 233,048/x
  3. Step 3: Cross multiply
    98,784x = 233,048 × 233,048
  4. Step 4: Simplify right side
    98,784x = 54,311,370,304
  5. Step 5: Solve for x
    x = 54,311,370,304/98,784
  6. Step 6: Final answer
    x = 549,799.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.