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Finding the Third Proportional to 186,152 and 249,698

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Solution

The third proportional to 186,152 and 249,698 is: 334,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,152 : 249,698 = 249,698 : x
  2. Step 2: Convert to fraction form
    186,152/249,698 = 249,698/x
  3. Step 3: Cross multiply
    186,152x = 249,698 × 249,698
  4. Step 4: Simplify right side
    186,152x = 62,349,091,204
  5. Step 5: Solve for x
    x = 62,349,091,204/186,152
  6. Step 6: Final answer
    x = 334,936.46

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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.