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Finding the Third Proportional to 249,248 and 376,845

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Solution

The third proportional to 249,248 and 376,845 is: 569,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,248 : 376,845 = 376,845 : x
  2. Step 2: Convert to fraction form
    249,248/376,845 = 376,845/x
  3. Step 3: Cross multiply
    249,248x = 376,845 × 376,845
  4. Step 4: Simplify right side
    249,248x = 142,012,154,025
  5. Step 5: Solve for x
    x = 142,012,154,025/249,248
  6. Step 6: Final answer
    x = 569,762.46

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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.