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Finding the Third Proportional to 122,932 and 265,547

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Solution

The third proportional to 122,932 and 265,547 is: 573,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,932 : 265,547 = 265,547 : x
  2. Step 2: Convert to fraction form
    122,932/265,547 = 265,547/x
  3. Step 3: Cross multiply
    122,932x = 265,547 × 265,547
  4. Step 4: Simplify right side
    122,932x = 70,515,209,209
  5. Step 5: Solve for x
    x = 70,515,209,209/122,932
  6. Step 6: Final answer
    x = 573,611.50

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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.