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Finding the Third Proportional to 186,144 and 249,690

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Solution

The third proportional to 186,144 and 249,690 is: 334,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,144 : 249,690 = 249,690 : x
  2. Step 2: Convert to fraction form
    186,144/249,690 = 249,690/x
  3. Step 3: Cross multiply
    186,144x = 249,690 × 249,690
  4. Step 4: Simplify right side
    186,144x = 62,345,096,100
  5. Step 5: Solve for x
    x = 62,345,096,100/186,144
  6. Step 6: Final answer
    x = 334,929.39

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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.