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Finding the Third Proportional to 162,117 and 242,527.50

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Solution

The third proportional to 162,117 and 242,527.50 is: 362,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,117 : 242,527.50 = 242,527.50 : x
  2. Step 2: Convert to fraction form
    162,117/242,527.50 = 242,527.50/x
  3. Step 3: Cross multiply
    162,117x = 242,527.50 × 242,527.50
  4. Step 4: Simplify right side
    162,117x = 58,819,588,256.25
  5. Step 5: Solve for x
    x = 58,819,588,256.25/162,117
  6. Step 6: Final answer
    x = 362,821.84

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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.