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Finding the Third Proportional to 113,748 and 265,730

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Solution

The third proportional to 113,748 and 265,730 is: 620,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,748 : 265,730 = 265,730 : x
  2. Step 2: Convert to fraction form
    113,748/265,730 = 265,730/x
  3. Step 3: Cross multiply
    113,748x = 265,730 × 265,730
  4. Step 4: Simplify right side
    113,748x = 70,612,432,900
  5. Step 5: Solve for x
    x = 70,612,432,900/113,748
  6. Step 6: Final answer
    x = 620,779.56

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.