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Finding the Third Proportional to 236,875 and 364,461

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Solution

The third proportional to 236,875 and 364,461 is: 560,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,875 : 364,461 = 364,461 : x
  2. Step 2: Convert to fraction form
    236,875/364,461 = 364,461/x
  3. Step 3: Cross multiply
    236,875x = 364,461 × 364,461
  4. Step 4: Simplify right side
    236,875x = 132,831,820,521
  5. Step 5: Solve for x
    x = 132,831,820,521/236,875
  6. Step 6: Final answer
    x = 560,767.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.