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Finding the Third Proportional to 176,526 and 266,437

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Solution

The third proportional to 176,526 and 266,437 is: 402,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,526 : 266,437 = 266,437 : x
  2. Step 2: Convert to fraction form
    176,526/266,437 = 266,437/x
  3. Step 3: Cross multiply
    176,526x = 266,437 × 266,437
  4. Step 4: Simplify right side
    176,526x = 70,988,674,969
  5. Step 5: Solve for x
    x = 70,988,674,969/176,526
  6. Step 6: Final answer
    x = 402,142.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.