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Finding the Third Proportional to 125,700 and 264,328

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Solution

The third proportional to 125,700 and 264,328 is: 555,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,700 : 264,328 = 264,328 : x
  2. Step 2: Convert to fraction form
    125,700/264,328 = 264,328/x
  3. Step 3: Cross multiply
    125,700x = 264,328 × 264,328
  4. Step 4: Simplify right side
    125,700x = 69,869,291,584
  5. Step 5: Solve for x
    x = 69,869,291,584/125,700
  6. Step 6: Final answer
    x = 555,841.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.