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Finding the Third Proportional to 191,046 and 294,585

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Solution

The third proportional to 191,046 and 294,585 is: 454,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,046 : 294,585 = 294,585 : x
  2. Step 2: Convert to fraction form
    191,046/294,585 = 294,585/x
  3. Step 3: Cross multiply
    191,046x = 294,585 × 294,585
  4. Step 4: Simplify right side
    191,046x = 86,780,322,225
  5. Step 5: Solve for x
    x = 86,780,322,225/191,046
  6. Step 6: Final answer
    x = 454,237.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.