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Finding the Third Proportional to 175,477.50 and 384,354

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Solution

The third proportional to 175,477.50 and 384,354 is: 841,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,477.50 : 384,354 = 384,354 : x
  2. Step 2: Convert to fraction form
    175,477.50/384,354 = 384,354/x
  3. Step 3: Cross multiply
    175,477.50x = 384,354 × 384,354
  4. Step 4: Simplify right side
    175,477.50x = 147,727,997,316
  5. Step 5: Solve for x
    x = 147,727,997,316/175,477.50
  6. Step 6: Final answer
    x = 841,862.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.