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Finding the Third Proportional to 156,323 and 242,206.50

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Solution

The third proportional to 156,323 and 242,206.50 is: 375,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,323 : 242,206.50 = 242,206.50 : x
  2. Step 2: Convert to fraction form
    156,323/242,206.50 = 242,206.50/x
  3. Step 3: Cross multiply
    156,323x = 242,206.50 × 242,206.50
  4. Step 4: Simplify right side
    156,323x = 58,663,988,642.25
  5. Step 5: Solve for x
    x = 58,663,988,642.25/156,323
  6. Step 6: Final answer
    x = 375,274.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.