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Finding the Third Proportional to 233,627.63 and 306,770.63

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Solution

The third proportional to 233,627.63 and 306,770.63 is: 402,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,627.63 : 306,770.63 = 306,770.63 : x
  2. Step 2: Convert to fraction form
    233,627.63/306,770.63 = 306,770.63/x
  3. Step 3: Cross multiply
    233,627.63x = 306,770.63 × 306,770.63
  4. Step 4: Simplify right side
    233,627.63x = 94,108,216,362.89
  5. Step 5: Solve for x
    x = 94,108,216,362.89/233,627.63
  6. Step 6: Final answer
    x = 402,812.88

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.