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Finding the Third Proportional to 162,094.50 and 260,440.50

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Solution

The third proportional to 162,094.50 and 260,440.50 is: 418,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,094.50 : 260,440.50 = 260,440.50 : x
  2. Step 2: Convert to fraction form
    162,094.50/260,440.50 = 260,440.50/x
  3. Step 3: Cross multiply
    162,094.50x = 260,440.50 × 260,440.50
  4. Step 4: Simplify right side
    162,094.50x = 67,829,254,040.25
  5. Step 5: Solve for x
    x = 67,829,254,040.25/162,094.50
  6. Step 6: Final answer
    x = 418,455.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.