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Finding the Third Proportional to 156,715.50 and 235,070.63

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Solution

The third proportional to 156,715.50 and 235,070.63 is: 352,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,715.50 : 235,070.63 = 235,070.63 : x
  2. Step 2: Convert to fraction form
    156,715.50/235,070.63 = 235,070.63/x
  3. Step 3: Cross multiply
    156,715.50x = 235,070.63 × 235,070.63
  4. Step 4: Simplify right side
    156,715.50x = 55,258,198,737.89
  5. Step 5: Solve for x
    x = 55,258,198,737.89/156,715.50
  6. Step 6: Final answer
    x = 352,602.00

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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.