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Finding the Third Proportional to 160,224 and 249,408

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Solution

The third proportional to 160,224 and 249,408 is: 388,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,224 : 249,408 = 249,408 : x
  2. Step 2: Convert to fraction form
    160,224/249,408 = 249,408/x
  3. Step 3: Cross multiply
    160,224x = 249,408 × 249,408
  4. Step 4: Simplify right side
    160,224x = 62,204,350,464
  5. Step 5: Solve for x
    x = 62,204,350,464/160,224
  6. Step 6: Final answer
    x = 388,233.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.