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Finding the Third Proportional to 176,277.94 and 268,547.06

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Solution

The third proportional to 176,277.94 and 268,547.06 is: 409,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,277.94 : 268,547.06 = 268,547.06 : x
  2. Step 2: Convert to fraction form
    176,277.94/268,547.06 = 268,547.06/x
  3. Step 3: Cross multiply
    176,277.94x = 268,547.06 × 268,547.06
  4. Step 4: Simplify right side
    176,277.94x = 72,117,524,777.38
  5. Step 5: Solve for x
    x = 72,117,524,777.38/176,277.94
  6. Step 6: Final answer
    x = 409,112.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.