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Finding the Third Proportional to 191,070 and 413,270

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Solution

The third proportional to 191,070 and 413,270 is: 893,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,070 : 413,270 = 413,270 : x
  2. Step 2: Convert to fraction form
    191,070/413,270 = 413,270/x
  3. Step 3: Cross multiply
    191,070x = 413,270 × 413,270
  4. Step 4: Simplify right side
    191,070x = 170,792,092,900
  5. Step 5: Solve for x
    x = 170,792,092,900/191,070
  6. Step 6: Final answer
    x = 893,871.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.