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Finding the Third Proportional to 134,962.88 and 312,445.69

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Solution

The third proportional to 134,962.88 and 312,445.69 is: 723,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,962.88 : 312,445.69 = 312,445.69 : x
  2. Step 2: Convert to fraction form
    134,962.88/312,445.69 = 312,445.69/x
  3. Step 3: Cross multiply
    134,962.88x = 312,445.69 × 312,445.69
  4. Step 4: Simplify right side
    134,962.88x = 97,622,307,637.35
  5. Step 5: Solve for x
    x = 97,622,307,637.35/134,962.88
  6. Step 6: Final answer
    x = 723,327.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.