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Finding the Third Proportional to 175,128.50 and 277,354

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Solution

The third proportional to 175,128.50 and 277,354 is: 439,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,128.50 : 277,354 = 277,354 : x
  2. Step 2: Convert to fraction form
    175,128.50/277,354 = 277,354/x
  3. Step 3: Cross multiply
    175,128.50x = 277,354 × 277,354
  4. Step 4: Simplify right side
    175,128.50x = 76,925,241,316
  5. Step 5: Solve for x
    x = 76,925,241,316/175,128.50
  6. Step 6: Final answer
    x = 439,250.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.