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Finding the Third Proportional to 249,969 and 357,201

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Solution

The third proportional to 249,969 and 357,201 is: 510,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,969 : 357,201 = 357,201 : x
  2. Step 2: Convert to fraction form
    249,969/357,201 = 357,201/x
  3. Step 3: Cross multiply
    249,969x = 357,201 × 357,201
  4. Step 4: Simplify right side
    249,969x = 127,592,554,401
  5. Step 5: Solve for x
    x = 127,592,554,401/249,969
  6. Step 6: Final answer
    x = 510,433.51

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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.