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Finding the Third Proportional to 123,232 and 265,688

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Solution

The third proportional to 123,232 and 265,688 is: 572,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,232 : 265,688 = 265,688 : x
  2. Step 2: Convert to fraction form
    123,232/265,688 = 265,688/x
  3. Step 3: Cross multiply
    123,232x = 265,688 × 265,688
  4. Step 4: Simplify right side
    123,232x = 70,590,113,344
  5. Step 5: Solve for x
    x = 70,590,113,344/123,232
  6. Step 6: Final answer
    x = 572,822.91

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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.