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Finding the Third Proportional to 249,156 and 386,838

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Solution

The third proportional to 249,156 and 386,838 is: 600,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,156 : 386,838 = 386,838 : x
  2. Step 2: Convert to fraction form
    249,156/386,838 = 386,838/x
  3. Step 3: Cross multiply
    249,156x = 386,838 × 386,838
  4. Step 4: Simplify right side
    249,156x = 149,643,638,244
  5. Step 5: Solve for x
    x = 149,643,638,244/249,156
  6. Step 6: Final answer
    x = 600,602.19

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