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Finding the Third Proportional to 121,284 and 264,816

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Solution

The third proportional to 121,284 and 264,816 is: 578,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,284 : 264,816 = 264,816 : x
  2. Step 2: Convert to fraction form
    121,284/264,816 = 264,816/x
  3. Step 3: Cross multiply
    121,284x = 264,816 × 264,816
  4. Step 4: Simplify right side
    121,284x = 70,127,513,856
  5. Step 5: Solve for x
    x = 70,127,513,856/121,284
  6. Step 6: Final answer
    x = 578,209.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.