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Finding the Third Proportional to 249,372 and 538,110

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Solution

The third proportional to 249,372 and 538,110 is: 1,161,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,372 : 538,110 = 538,110 : x
  2. Step 2: Convert to fraction form
    249,372/538,110 = 538,110/x
  3. Step 3: Cross multiply
    249,372x = 538,110 × 538,110
  4. Step 4: Simplify right side
    249,372x = 289,562,372,100
  5. Step 5: Solve for x
    x = 289,562,372,100/249,372
  6. Step 6: Final answer
    x = 1,161,166.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.