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Finding the Third Proportional to 249,844 and 356,082

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Solution

The third proportional to 249,844 and 356,082 is: 507,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,844 : 356,082 = 356,082 : x
  2. Step 2: Convert to fraction form
    249,844/356,082 = 356,082/x
  3. Step 3: Cross multiply
    249,844x = 356,082 × 356,082
  4. Step 4: Simplify right side
    249,844x = 126,794,390,724
  5. Step 5: Solve for x
    x = 126,794,390,724/249,844
  6. Step 6: Final answer
    x = 507,494.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.