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Finding the Third Proportional to 249,105 and 376,605

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Solution

The third proportional to 249,105 and 376,605 is: 569,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,105 : 376,605 = 376,605 : x
  2. Step 2: Convert to fraction form
    249,105/376,605 = 376,605/x
  3. Step 3: Cross multiply
    249,105x = 376,605 × 376,605
  4. Step 4: Simplify right side
    249,105x = 141,831,326,025
  5. Step 5: Solve for x
    x = 141,831,326,025/249,105
  6. Step 6: Final answer
    x = 569,363.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.