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Finding the Third Proportional to 249,968 and 357,199

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Solution

The third proportional to 249,968 and 357,199 is: 510,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,968 : 357,199 = 357,199 : x
  2. Step 2: Convert to fraction form
    249,968/357,199 = 357,199/x
  3. Step 3: Cross multiply
    249,968x = 357,199 × 357,199
  4. Step 4: Simplify right side
    249,968x = 127,591,125,601
  5. Step 5: Solve for x
    x = 127,591,125,601/249,968
  6. Step 6: Final answer
    x = 510,429.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.