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Finding the Third Proportional to 208,065 and 314,284

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Solution

The third proportional to 208,065 and 314,284 is: 474,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065 : 314,284 = 314,284 : x
  2. Step 2: Convert to fraction form
    208,065/314,284 = 314,284/x
  3. Step 3: Cross multiply
    208,065x = 314,284 × 314,284
  4. Step 4: Simplify right side
    208,065x = 98,774,432,656
  5. Step 5: Solve for x
    x = 98,774,432,656/208,065
  6. Step 6: Final answer
    x = 474,728.73

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Why These Related Problems?

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