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Finding the Third Proportional to 191,256 and 390,960

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Solution

The third proportional to 191,256 and 390,960 is: 799,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,256 : 390,960 = 390,960 : x
  2. Step 2: Convert to fraction form
    191,256/390,960 = 390,960/x
  3. Step 3: Cross multiply
    191,256x = 390,960 × 390,960
  4. Step 4: Simplify right side
    191,256x = 152,849,721,600
  5. Step 5: Solve for x
    x = 152,849,721,600/191,256
  6. Step 6: Final answer
    x = 799,189.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.