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Finding the Third Proportional to 228,315 and 358,146

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Solution

The third proportional to 228,315 and 358,146 is: 561,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,315 : 358,146 = 358,146 : x
  2. Step 2: Convert to fraction form
    228,315/358,146 = 358,146/x
  3. Step 3: Cross multiply
    228,315x = 358,146 × 358,146
  4. Step 4: Simplify right side
    228,315x = 128,268,557,316
  5. Step 5: Solve for x
    x = 128,268,557,316/228,315
  6. Step 6: Final answer
    x = 561,805.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.