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Finding the Third Proportional to 356,145.19 and 510,170.06

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Solution

The third proportional to 356,145.19 and 510,170.06 is: 730,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,145.19 : 510,170.06 = 510,170.06 : x
  2. Step 2: Convert to fraction form
    356,145.19/510,170.06 = 510,170.06/x
  3. Step 3: Cross multiply
    356,145.19x = 510,170.06 × 510,170.06
  4. Step 4: Simplify right side
    356,145.19x = 260,273,492,671.25
  5. Step 5: Solve for x
    x = 260,273,492,671.25/356,145.19
  6. Step 6: Final answer
    x = 730,807.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.