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Finding the Third Proportional to 151,432.50 and 233,466.50

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Solution

The third proportional to 151,432.50 and 233,466.50 is: 359,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,432.50 : 233,466.50 = 233,466.50 : x
  2. Step 2: Convert to fraction form
    151,432.50/233,466.50 = 233,466.50/x
  3. Step 3: Cross multiply
    151,432.50x = 233,466.50 × 233,466.50
  4. Step 4: Simplify right side
    151,432.50x = 54,506,606,622.25
  5. Step 5: Solve for x
    x = 54,506,606,622.25/151,432.50
  6. Step 6: Final answer
    x = 359,939.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.