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Finding the Third Proportional to 210,118.50 and 314,435.25

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Solution

The third proportional to 210,118.50 and 314,435.25 is: 470,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,118.50 : 314,435.25 = 314,435.25 : x
  2. Step 2: Convert to fraction form
    210,118.50/314,435.25 = 314,435.25/x
  3. Step 3: Cross multiply
    210,118.50x = 314,435.25 × 314,435.25
  4. Step 4: Simplify right side
    210,118.50x = 98,869,526,442.56
  5. Step 5: Solve for x
    x = 98,869,526,442.56/210,118.50
  6. Step 6: Final answer
    x = 470,541.75

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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.