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Finding the Third Proportional to 183,738.38 and 432,303.75

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Solution

The third proportional to 183,738.38 and 432,303.75 is: 1,017,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,738.38 : 432,303.75 = 432,303.75 : x
  2. Step 2: Convert to fraction form
    183,738.38/432,303.75 = 432,303.75/x
  3. Step 3: Cross multiply
    183,738.38x = 432,303.75 × 432,303.75
  4. Step 4: Simplify right side
    183,738.38x = 186,886,532,264.06
  5. Step 5: Solve for x
    x = 186,886,532,264.06/183,738.38
  6. Step 6: Final answer
    x = 1,017,133.91

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.