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Finding the Third Proportional to 134,913 and 296,070

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Solution

The third proportional to 134,913 and 296,070 is: 649,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,913 : 296,070 = 296,070 : x
  2. Step 2: Convert to fraction form
    134,913/296,070 = 296,070/x
  3. Step 3: Cross multiply
    134,913x = 296,070 × 296,070
  4. Step 4: Simplify right side
    134,913x = 87,657,444,900
  5. Step 5: Solve for x
    x = 87,657,444,900/134,913
  6. Step 6: Final answer
    x = 649,733.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.