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Finding the Third Proportional to 176,901.19 and 235,684.69

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Solution

The third proportional to 176,901.19 and 235,684.69 is: 314,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,901.19 : 235,684.69 = 235,684.69 : x
  2. Step 2: Convert to fraction form
    176,901.19/235,684.69 = 235,684.69/x
  3. Step 3: Cross multiply
    176,901.19x = 235,684.69 × 235,684.69
  4. Step 4: Simplify right side
    176,901.19x = 55,547,271,921.97
  5. Step 5: Solve for x
    x = 55,547,271,921.97/176,901.19
  6. Step 6: Final answer
    x = 314,001.69

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.