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Finding the Third Proportional to 115,326 and 249,606

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Solution

The third proportional to 115,326 and 249,606 is: 540,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,326 : 249,606 = 249,606 : x
  2. Step 2: Convert to fraction form
    115,326/249,606 = 249,606/x
  3. Step 3: Cross multiply
    115,326x = 249,606 × 249,606
  4. Step 4: Simplify right side
    115,326x = 62,303,155,236
  5. Step 5: Solve for x
    x = 62,303,155,236/115,326
  6. Step 6: Final answer
    x = 540,235.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.