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Finding the Third Proportional to 98,272 and 210,304

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Solution

The third proportional to 98,272 and 210,304 is: 450,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,272 : 210,304 = 210,304 : x
  2. Step 2: Convert to fraction form
    98,272/210,304 = 210,304/x
  3. Step 3: Cross multiply
    98,272x = 210,304 × 210,304
  4. Step 4: Simplify right side
    98,272x = 44,227,772,416
  5. Step 5: Solve for x
    x = 44,227,772,416/98,272
  6. Step 6: Final answer
    x = 450,054.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.