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Finding the Third Proportional to 186,957.50 and 290,038.75

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Solution

The third proportional to 186,957.50 and 290,038.75 is: 449,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,957.50 : 290,038.75 = 290,038.75 : x
  2. Step 2: Convert to fraction form
    186,957.50/290,038.75 = 290,038.75/x
  3. Step 3: Cross multiply
    186,957.50x = 290,038.75 × 290,038.75
  4. Step 4: Simplify right side
    186,957.50x = 84,122,476,501.56
  5. Step 5: Solve for x
    x = 84,122,476,501.56/186,957.50
  6. Step 6: Final answer
    x = 449,955.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.