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Finding the Third Proportional to 152,331 and 243,256.50

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Solution

The third proportional to 152,331 and 243,256.50 is: 388,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,331 : 243,256.50 = 243,256.50 : x
  2. Step 2: Convert to fraction form
    152,331/243,256.50 = 243,256.50/x
  3. Step 3: Cross multiply
    152,331x = 243,256.50 × 243,256.50
  4. Step 4: Simplify right side
    152,331x = 59,173,724,792.25
  5. Step 5: Solve for x
    x = 59,173,724,792.25/152,331
  6. Step 6: Final answer
    x = 388,454.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.