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Finding the Third Proportional to 191,010 and 245,853

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Solution

The third proportional to 191,010 and 245,853 is: 316,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,010 : 245,853 = 245,853 : x
  2. Step 2: Convert to fraction form
    191,010/245,853 = 245,853/x
  3. Step 3: Cross multiply
    191,010x = 245,853 × 245,853
  4. Step 4: Simplify right side
    191,010x = 60,443,697,609
  5. Step 5: Solve for x
    x = 60,443,697,609/191,010
  6. Step 6: Final answer
    x = 316,442.58

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.