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Finding the Third Proportional to 249,437 and 547,168

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Solution

The third proportional to 249,437 and 547,168 is: 1,200,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,437 : 547,168 = 547,168 : x
  2. Step 2: Convert to fraction form
    249,437/547,168 = 547,168/x
  3. Step 3: Cross multiply
    249,437x = 547,168 × 547,168
  4. Step 4: Simplify right side
    249,437x = 299,392,820,224
  5. Step 5: Solve for x
    x = 299,392,820,224/249,437
  6. Step 6: Final answer
    x = 1,200,274.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.