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Finding the Third Proportional to 144,867.50 and 230,513

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Solution

The third proportional to 144,867.50 and 230,513 is: 366,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,867.50 : 230,513 = 230,513 : x
  2. Step 2: Convert to fraction form
    144,867.50/230,513 = 230,513/x
  3. Step 3: Cross multiply
    144,867.50x = 230,513 × 230,513
  4. Step 4: Simplify right side
    144,867.50x = 53,136,243,169
  5. Step 5: Solve for x
    x = 53,136,243,169/144,867.50
  6. Step 6: Final answer
    x = 366,792.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.