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Finding the Third Proportional to 155,706.50 and 340,492.50

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Solution

The third proportional to 155,706.50 and 340,492.50 is: 744,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,706.50 : 340,492.50 = 340,492.50 : x
  2. Step 2: Convert to fraction form
    155,706.50/340,492.50 = 340,492.50/x
  3. Step 3: Cross multiply
    155,706.50x = 340,492.50 × 340,492.50
  4. Step 4: Simplify right side
    155,706.50x = 115,935,142,556.25
  5. Step 5: Solve for x
    x = 115,935,142,556.25/155,706.50
  6. Step 6: Final answer
    x = 744,574.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.