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Finding the Third Proportional to 210,297.75 and 456,089.25

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Solution

The third proportional to 210,297.75 and 456,089.25 is: 989,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,297.75 : 456,089.25 = 456,089.25 : x
  2. Step 2: Convert to fraction form
    210,297.75/456,089.25 = 456,089.25/x
  3. Step 3: Cross multiply
    210,297.75x = 456,089.25 × 456,089.25
  4. Step 4: Simplify right side
    210,297.75x = 208,017,403,965.56
  5. Step 5: Solve for x
    x = 208,017,403,965.56/210,297.75
  6. Step 6: Final answer
    x = 989,156.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.