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Finding the Third Proportional to 249,793 and 338,602

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Solution

The third proportional to 249,793 and 338,602 is: 458,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,793 : 338,602 = 338,602 : x
  2. Step 2: Convert to fraction form
    249,793/338,602 = 338,602/x
  3. Step 3: Cross multiply
    249,793x = 338,602 × 338,602
  4. Step 4: Simplify right side
    249,793x = 114,651,314,404
  5. Step 5: Solve for x
    x = 114,651,314,404/249,793
  6. Step 6: Final answer
    x = 458,985.30

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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.