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Finding the Third Proportional to 149,985 and 210,943

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Solution

The third proportional to 149,985 and 210,943 is: 296,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,985 : 210,943 = 210,943 : x
  2. Step 2: Convert to fraction form
    149,985/210,943 = 210,943/x
  3. Step 3: Cross multiply
    149,985x = 210,943 × 210,943
  4. Step 4: Simplify right side
    149,985x = 44,496,949,249
  5. Step 5: Solve for x
    x = 44,496,949,249/149,985
  6. Step 6: Final answer
    x = 296,676.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.