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Finding the Third Proportional to 189,924 and 294,072

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Solution

The third proportional to 189,924 and 294,072 is: 455,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,924 : 294,072 = 294,072 : x
  2. Step 2: Convert to fraction form
    189,924/294,072 = 294,072/x
  3. Step 3: Cross multiply
    189,924x = 294,072 × 294,072
  4. Step 4: Simplify right side
    189,924x = 86,478,341,184
  5. Step 5: Solve for x
    x = 86,478,341,184/189,924
  6. Step 6: Final answer
    x = 455,331.30

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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.