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Finding the Third Proportional to 164,095.50 and 245,869.50

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Solution

The third proportional to 164,095.50 and 245,869.50 is: 368,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,095.50 : 245,869.50 = 245,869.50 : x
  2. Step 2: Convert to fraction form
    164,095.50/245,869.50 = 245,869.50/x
  3. Step 3: Cross multiply
    164,095.50x = 245,869.50 × 245,869.50
  4. Step 4: Simplify right side
    164,095.50x = 60,451,811,030.25
  5. Step 5: Solve for x
    x = 60,451,811,030.25/164,095.50
  6. Step 6: Final answer
    x = 368,394.08

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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.