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Finding the Third Proportional to 210,320 and 295,114

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Solution

The third proportional to 210,320 and 295,114 is: 414,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,320 : 295,114 = 295,114 : x
  2. Step 2: Convert to fraction form
    210,320/295,114 = 295,114/x
  3. Step 3: Cross multiply
    210,320x = 295,114 × 295,114
  4. Step 4: Simplify right side
    210,320x = 87,092,272,996
  5. Step 5: Solve for x
    x = 87,092,272,996/210,320
  6. Step 6: Final answer
    x = 414,094.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.