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Finding the Third Proportional to 155,588.50 and 341,297

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Solution

The third proportional to 155,588.50 and 341,297 is: 748,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,588.50 : 341,297 = 341,297 : x
  2. Step 2: Convert to fraction form
    155,588.50/341,297 = 341,297/x
  3. Step 3: Cross multiply
    155,588.50x = 341,297 × 341,297
  4. Step 4: Simplify right side
    155,588.50x = 116,483,642,209
  5. Step 5: Solve for x
    x = 116,483,642,209/155,588.50
  6. Step 6: Final answer
    x = 748,664.86

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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.