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Finding the Third Proportional to 249,252 and 376,851

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Solution

The third proportional to 249,252 and 376,851 is: 569,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,252 : 376,851 = 376,851 : x
  2. Step 2: Convert to fraction form
    249,252/376,851 = 376,851/x
  3. Step 3: Cross multiply
    249,252x = 376,851 × 376,851
  4. Step 4: Simplify right side
    249,252x = 142,016,676,201
  5. Step 5: Solve for x
    x = 142,016,676,201/249,252
  6. Step 6: Final answer
    x = 569,771.46

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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.