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Finding the Third Proportional to 249,158 and 386,841

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Solution

The third proportional to 249,158 and 386,841 is: 600,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,158 : 386,841 = 386,841 : x
  2. Step 2: Convert to fraction form
    249,158/386,841 = 386,841/x
  3. Step 3: Cross multiply
    249,158x = 386,841 × 386,841
  4. Step 4: Simplify right side
    249,158x = 149,645,959,281
  5. Step 5: Solve for x
    x = 149,645,959,281/249,158
  6. Step 6: Final answer
    x = 600,606.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.