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Finding the Third Proportional to 186,802.50 and 291,868.50

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Solution

The third proportional to 186,802.50 and 291,868.50 is: 456,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,802.50 : 291,868.50 = 291,868.50 : x
  2. Step 2: Convert to fraction form
    186,802.50/291,868.50 = 291,868.50/x
  3. Step 3: Cross multiply
    186,802.50x = 291,868.50 × 291,868.50
  4. Step 4: Simplify right side
    186,802.50x = 85,187,221,292.25
  5. Step 5: Solve for x
    x = 85,187,221,292.25/186,802.50
  6. Step 6: Final answer
    x = 456,028.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.