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Finding the Third Proportional to 147,875.63 and 221,560.88

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Solution

The third proportional to 147,875.63 and 221,560.88 is: 331,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,875.63 : 221,560.88 = 221,560.88 : x
  2. Step 2: Convert to fraction form
    147,875.63/221,560.88 = 221,560.88/x
  3. Step 3: Cross multiply
    147,875.63x = 221,560.88 × 221,560.88
  4. Step 4: Simplify right side
    147,875.63x = 49,089,221,330.77
  5. Step 5: Solve for x
    x = 49,089,221,330.77/147,875.63
  6. Step 6: Final answer
    x = 331,962.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.