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Finding the Third Proportional to 145,232 and 314,588

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Solution

The third proportional to 145,232 and 314,588 is: 681,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,232 : 314,588 = 314,588 : x
  2. Step 2: Convert to fraction form
    145,232/314,588 = 314,588/x
  3. Step 3: Cross multiply
    145,232x = 314,588 × 314,588
  4. Step 4: Simplify right side
    145,232x = 98,965,609,744
  5. Step 5: Solve for x
    x = 98,965,609,744/145,232
  6. Step 6: Final answer
    x = 681,431.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.