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Finding the Third Proportional to 145,955 and 313,737

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Solution

The third proportional to 145,955 and 313,737 is: 674,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,955 : 313,737 = 313,737 : x
  2. Step 2: Convert to fraction form
    145,955/313,737 = 313,737/x
  3. Step 3: Cross multiply
    145,955x = 313,737 × 313,737
  4. Step 4: Simplify right side
    145,955x = 98,430,905,169
  5. Step 5: Solve for x
    x = 98,430,905,169/145,955
  6. Step 6: Final answer
    x = 674,392.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.