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Finding the Third Proportional to 121,464 and 265,034

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Solution

The third proportional to 121,464 and 265,034 is: 578,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,464 : 265,034 = 265,034 : x
  2. Step 2: Convert to fraction form
    121,464/265,034 = 265,034/x
  3. Step 3: Cross multiply
    121,464x = 265,034 × 265,034
  4. Step 4: Simplify right side
    121,464x = 70,243,021,156
  5. Step 5: Solve for x
    x = 70,243,021,156/121,464
  6. Step 6: Final answer
    x = 578,303.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.