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Finding the Third Proportional to 189,209 and 292,994

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Solution

The third proportional to 189,209 and 292,994 is: 453,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,209 : 292,994 = 292,994 : x
  2. Step 2: Convert to fraction form
    189,209/292,994 = 292,994/x
  3. Step 3: Cross multiply
    189,209x = 292,994 × 292,994
  4. Step 4: Simplify right side
    189,209x = 85,845,484,036
  5. Step 5: Solve for x
    x = 85,845,484,036/189,209
  6. Step 6: Final answer
    x = 453,707.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.