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Finding the Third Proportional to 127,293.19 and 265,045.50

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Solution

The third proportional to 127,293.19 and 265,045.50 is: 551,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,293.19 : 265,045.50 = 265,045.50 : x
  2. Step 2: Convert to fraction form
    127,293.19/265,045.50 = 265,045.50/x
  3. Step 3: Cross multiply
    127,293.19x = 265,045.50 × 265,045.50
  4. Step 4: Simplify right side
    127,293.19x = 70,249,117,070.25
  5. Step 5: Solve for x
    x = 70,249,117,070.25/127,293.19
  6. Step 6: Final answer
    x = 551,868.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.