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Finding the Third Proportional to 156,740 and 249,094

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Solution

The third proportional to 156,740 and 249,094 is: 395,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 249,094 = 249,094 : x
  2. Step 2: Convert to fraction form
    156,740/249,094 = 249,094/x
  3. Step 3: Cross multiply
    156,740x = 249,094 × 249,094
  4. Step 4: Simplify right side
    156,740x = 62,047,820,836
  5. Step 5: Solve for x
    x = 62,047,820,836/156,740
  6. Step 6: Final answer
    x = 395,864.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.