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Finding the Third Proportional to 115,578 and 249,084

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Solution

The third proportional to 115,578 and 249,084 is: 536,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,578 : 249,084 = 249,084 : x
  2. Step 2: Convert to fraction form
    115,578/249,084 = 249,084/x
  3. Step 3: Cross multiply
    115,578x = 249,084 × 249,084
  4. Step 4: Simplify right side
    115,578x = 62,042,839,056
  5. Step 5: Solve for x
    x = 62,042,839,056/115,578
  6. Step 6: Final answer
    x = 536,804.92

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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.