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Finding the Third Proportional to 175,510 and 379,038.50

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Solution

The third proportional to 175,510 and 379,038.50 is: 818,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510 : 379,038.50 = 379,038.50 : x
  2. Step 2: Convert to fraction form
    175,510/379,038.50 = 379,038.50/x
  3. Step 3: Cross multiply
    175,510x = 379,038.50 × 379,038.50
  4. Step 4: Simplify right side
    175,510x = 143,670,184,482.25
  5. Step 5: Solve for x
    x = 143,670,184,482.25/175,510
  6. Step 6: Final answer
    x = 818,586.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.