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Finding the Third Proportional to 230,247 and 330,547.50

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Solution

The third proportional to 230,247 and 330,547.50 is: 474,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,247 : 330,547.50 = 330,547.50 : x
  2. Step 2: Convert to fraction form
    230,247/330,547.50 = 330,547.50/x
  3. Step 3: Cross multiply
    230,247x = 330,547.50 × 330,547.50
  4. Step 4: Simplify right side
    230,247x = 109,261,649,756.25
  5. Step 5: Solve for x
    x = 109,261,649,756.25/230,247
  6. Step 6: Final answer
    x = 474,541.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.