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Finding the Third Proportional to 144,058.50 and 314,361

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Solution

The third proportional to 144,058.50 and 314,361 is: 685,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,058.50 : 314,361 = 314,361 : x
  2. Step 2: Convert to fraction form
    144,058.50/314,361 = 314,361/x
  3. Step 3: Cross multiply
    144,058.50x = 314,361 × 314,361
  4. Step 4: Simplify right side
    144,058.50x = 98,822,838,321
  5. Step 5: Solve for x
    x = 98,822,838,321/144,058.50
  6. Step 6: Final answer
    x = 685,991.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.