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Finding the Third Proportional to 147,507 and 234,532.50

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Solution

The third proportional to 147,507 and 234,532.50 is: 372,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,507 : 234,532.50 = 234,532.50 : x
  2. Step 2: Convert to fraction form
    147,507/234,532.50 = 234,532.50/x
  3. Step 3: Cross multiply
    147,507x = 234,532.50 × 234,532.50
  4. Step 4: Simplify right side
    147,507x = 55,005,493,556.25
  5. Step 5: Solve for x
    x = 55,005,493,556.25/147,507
  6. Step 6: Final answer
    x = 372,900.90

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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.