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Finding the Third Proportional to 114,064 and 266,528

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Solution

The third proportional to 114,064 and 266,528 is: 622,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,064 : 266,528 = 266,528 : x
  2. Step 2: Convert to fraction form
    114,064/266,528 = 266,528/x
  3. Step 3: Cross multiply
    114,064x = 266,528 × 266,528
  4. Step 4: Simplify right side
    114,064x = 71,037,174,784
  5. Step 5: Solve for x
    x = 71,037,174,784/114,064
  6. Step 6: Final answer
    x = 622,783.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.