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Finding the Third Proportional to 98,964 and 233,382

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Solution

The third proportional to 98,964 and 233,382 is: 550,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 233,382 = 233,382 : x
  2. Step 2: Convert to fraction form
    98,964/233,382 = 233,382/x
  3. Step 3: Cross multiply
    98,964x = 233,382 × 233,382
  4. Step 4: Simplify right side
    98,964x = 54,467,157,924
  5. Step 5: Solve for x
    x = 54,467,157,924/98,964
  6. Step 6: Final answer
    x = 550,373.45

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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.