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Finding the Third Proportional to 122,895 and 265,473

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Solution

The third proportional to 122,895 and 265,473 is: 573,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,895 : 265,473 = 265,473 : x
  2. Step 2: Convert to fraction form
    122,895/265,473 = 265,473/x
  3. Step 3: Cross multiply
    122,895x = 265,473 × 265,473
  4. Step 4: Simplify right side
    122,895x = 70,475,913,729
  5. Step 5: Solve for x
    x = 70,475,913,729/122,895
  6. Step 6: Final answer
    x = 573,464.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.