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Finding the Third Proportional to 216,445.50 and 294,860.25

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Solution

The third proportional to 216,445.50 and 294,860.25 is: 401,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,445.50 : 294,860.25 = 294,860.25 : x
  2. Step 2: Convert to fraction form
    216,445.50/294,860.25 = 294,860.25/x
  3. Step 3: Cross multiply
    216,445.50x = 294,860.25 × 294,860.25
  4. Step 4: Simplify right side
    216,445.50x = 86,942,567,030.06
  5. Step 5: Solve for x
    x = 86,942,567,030.06/216,445.50
  6. Step 6: Final answer
    x = 401,683.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.