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Finding the Third Proportional to 209,076 and 315,560

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Solution

The third proportional to 209,076 and 315,560 is: 476,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,076 : 315,560 = 315,560 : x
  2. Step 2: Convert to fraction form
    209,076/315,560 = 315,560/x
  3. Step 3: Cross multiply
    209,076x = 315,560 × 315,560
  4. Step 4: Simplify right side
    209,076x = 99,578,113,600
  5. Step 5: Solve for x
    x = 99,578,113,600/209,076
  6. Step 6: Final answer
    x = 476,277.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.