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Finding the Third Proportional to 243,516 and 364,284

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Solution

The third proportional to 243,516 and 364,284 is: 544,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,516 : 364,284 = 364,284 : x
  2. Step 2: Convert to fraction form
    243,516/364,284 = 364,284/x
  3. Step 3: Cross multiply
    243,516x = 364,284 × 364,284
  4. Step 4: Simplify right side
    243,516x = 132,702,832,656
  5. Step 5: Solve for x
    x = 132,702,832,656/243,516
  6. Step 6: Final answer
    x = 544,945.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.