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Finding the Third Proportional to 147,201 and 233,467.50

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Solution

The third proportional to 147,201 and 233,467.50 is: 370,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,201 : 233,467.50 = 233,467.50 : x
  2. Step 2: Convert to fraction form
    147,201/233,467.50 = 233,467.50/x
  3. Step 3: Cross multiply
    147,201x = 233,467.50 × 233,467.50
  4. Step 4: Simplify right side
    147,201x = 54,507,073,556.25
  5. Step 5: Solve for x
    x = 54,507,073,556.25/147,201
  6. Step 6: Final answer
    x = 370,290.10

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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.