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Finding the Third Proportional to 177,368 and 266,044

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Solution

The third proportional to 177,368 and 266,044 is: 399,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,368 : 266,044 = 266,044 : x
  2. Step 2: Convert to fraction form
    177,368/266,044 = 266,044/x
  3. Step 3: Cross multiply
    177,368x = 266,044 × 266,044
  4. Step 4: Simplify right side
    177,368x = 70,779,409,936
  5. Step 5: Solve for x
    x = 70,779,409,936/177,368
  6. Step 6: Final answer
    x = 399,054.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.