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Finding the Third Proportional to 122,994 and 265,365

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Solution

The third proportional to 122,994 and 265,365 is: 572,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,994 : 265,365 = 265,365 : x
  2. Step 2: Convert to fraction form
    122,994/265,365 = 265,365/x
  3. Step 3: Cross multiply
    122,994x = 265,365 × 265,365
  4. Step 4: Simplify right side
    122,994x = 70,418,583,225
  5. Step 5: Solve for x
    x = 70,418,583,225/122,994
  6. Step 6: Final answer
    x = 572,536.74

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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.