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Finding the Third Proportional to 144,688 and 230,160

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Solution

The third proportional to 144,688 and 230,160 is: 366,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,688 : 230,160 = 230,160 : x
  2. Step 2: Convert to fraction form
    144,688/230,160 = 230,160/x
  3. Step 3: Cross multiply
    144,688x = 230,160 × 230,160
  4. Step 4: Simplify right side
    144,688x = 52,973,625,600
  5. Step 5: Solve for x
    x = 52,973,625,600/144,688
  6. Step 6: Final answer
    x = 366,123.14

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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.