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Finding the Third Proportional to 129,117 and 301,773

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Solution

The third proportional to 129,117 and 301,773 is: 705,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,117 : 301,773 = 301,773 : x
  2. Step 2: Convert to fraction form
    129,117/301,773 = 301,773/x
  3. Step 3: Cross multiply
    129,117x = 301,773 × 301,773
  4. Step 4: Simplify right side
    129,117x = 91,066,943,529
  5. Step 5: Solve for x
    x = 91,066,943,529/129,117
  6. Step 6: Final answer
    x = 705,305.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.