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Finding the Third Proportional to 142,501 and 304,913

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Solution

The third proportional to 142,501 and 304,913 is: 652,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,501 : 304,913 = 304,913 : x
  2. Step 2: Convert to fraction form
    142,501/304,913 = 304,913/x
  3. Step 3: Cross multiply
    142,501x = 304,913 × 304,913
  4. Step 4: Simplify right side
    142,501x = 92,971,937,569
  5. Step 5: Solve for x
    x = 92,971,937,569/142,501
  6. Step 6: Final answer
    x = 652,430.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.