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Finding the Third Proportional to 230,160 and 344,280

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Solution

The third proportional to 230,160 and 344,280 is: 514,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160 : 344,280 = 344,280 : x
  2. Step 2: Convert to fraction form
    230,160/344,280 = 344,280/x
  3. Step 3: Cross multiply
    230,160x = 344,280 × 344,280
  4. Step 4: Simplify right side
    230,160x = 118,528,718,400
  5. Step 5: Solve for x
    x = 118,528,718,400/230,160
  6. Step 6: Final answer
    x = 514,984.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.