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Finding the Third Proportional to 147,208.50 and 233,473.50

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Solution

The third proportional to 147,208.50 and 233,473.50 is: 370,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,208.50 : 233,473.50 = 233,473.50 : x
  2. Step 2: Convert to fraction form
    147,208.50/233,473.50 = 233,473.50/x
  3. Step 3: Cross multiply
    147,208.50x = 233,473.50 × 233,473.50
  4. Step 4: Simplify right side
    147,208.50x = 54,509,875,202.25
  5. Step 5: Solve for x
    x = 54,509,875,202.25/147,208.50
  6. Step 6: Final answer
    x = 370,290.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.