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Finding the Third Proportional to 249,156 and 376,326

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Solution

The third proportional to 249,156 and 376,326 is: 568,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,156 : 376,326 = 376,326 : x
  2. Step 2: Convert to fraction form
    249,156/376,326 = 376,326/x
  3. Step 3: Cross multiply
    249,156x = 376,326 × 376,326
  4. Step 4: Simplify right side
    249,156x = 141,621,258,276
  5. Step 5: Solve for x
    x = 141,621,258,276/249,156
  6. Step 6: Final answer
    x = 568,403.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.