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Finding the Third Proportional to 210,080 and 314,373

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Solution

The third proportional to 210,080 and 314,373 is: 470,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,080 : 314,373 = 314,373 : x
  2. Step 2: Convert to fraction form
    210,080/314,373 = 314,373/x
  3. Step 3: Cross multiply
    210,080x = 314,373 × 314,373
  4. Step 4: Simplify right side
    210,080x = 98,830,383,129
  5. Step 5: Solve for x
    x = 98,830,383,129/210,080
  6. Step 6: Final answer
    x = 470,441.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.