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Finding the Third Proportional to 163,004 and 249,350

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Solution

The third proportional to 163,004 and 249,350 is: 381,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,004 : 249,350 = 249,350 : x
  2. Step 2: Convert to fraction form
    163,004/249,350 = 249,350/x
  3. Step 3: Cross multiply
    163,004x = 249,350 × 249,350
  4. Step 4: Simplify right side
    163,004x = 62,175,422,500
  5. Step 5: Solve for x
    x = 62,175,422,500/163,004
  6. Step 6: Final answer
    x = 381,434.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.