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Finding the Third Proportional to 242,732 and 376,877.50

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Solution

The third proportional to 242,732 and 376,877.50 is: 585,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,732 : 376,877.50 = 376,877.50 : x
  2. Step 2: Convert to fraction form
    242,732/376,877.50 = 376,877.50/x
  3. Step 3: Cross multiply
    242,732x = 376,877.50 × 376,877.50
  4. Step 4: Simplify right side
    242,732x = 142,036,650,006.25
  5. Step 5: Solve for x
    x = 142,036,650,006.25/242,732
  6. Step 6: Final answer
    x = 585,158.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.