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Finding the Third Proportional to 186,309.75 and 249,426

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Solution

The third proportional to 186,309.75 and 249,426 is: 333,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,309.75 : 249,426 = 249,426 : x
  2. Step 2: Convert to fraction form
    186,309.75/249,426 = 249,426/x
  3. Step 3: Cross multiply
    186,309.75x = 249,426 × 249,426
  4. Step 4: Simplify right side
    186,309.75x = 62,213,329,476
  5. Step 5: Solve for x
    x = 62,213,329,476/186,309.75
  6. Step 6: Final answer
    x = 333,924.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.