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Finding the Third Proportional to 176,439 and 266,302.13

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Solution

The third proportional to 176,439 and 266,302.13 is: 401,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,439 : 266,302.13 = 266,302.13 : x
  2. Step 2: Convert to fraction form
    176,439/266,302.13 = 266,302.13/x
  3. Step 3: Cross multiply
    176,439x = 266,302.13 × 266,302.13
  4. Step 4: Simplify right side
    176,439x = 70,916,821,779.52
  5. Step 5: Solve for x
    x = 70,916,821,779.52/176,439
  6. Step 6: Final answer
    x = 401,933.94

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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.