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Finding the Third Proportional to 249,672 and 365,164.50

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Solution

The third proportional to 249,672 and 365,164.50 is: 534,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,672 : 365,164.50 = 365,164.50 : x
  2. Step 2: Convert to fraction form
    249,672/365,164.50 = 365,164.50/x
  3. Step 3: Cross multiply
    249,672x = 365,164.50 × 365,164.50
  4. Step 4: Simplify right side
    249,672x = 133,345,112,060.25
  5. Step 5: Solve for x
    x = 133,345,112,060.25/249,672
  6. Step 6: Final answer
    x = 534,081.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.