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Finding the Third Proportional to 142,537 and 307,673

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Solution

The third proportional to 142,537 and 307,673 is: 664,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,537 : 307,673 = 307,673 : x
  2. Step 2: Convert to fraction form
    142,537/307,673 = 307,673/x
  3. Step 3: Cross multiply
    142,537x = 307,673 × 307,673
  4. Step 4: Simplify right side
    142,537x = 94,662,674,929
  5. Step 5: Solve for x
    x = 94,662,674,929/142,537
  6. Step 6: Final answer
    x = 664,127.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.