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Finding the Third Proportional to 145,888 and 314,130

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Solution

The third proportional to 145,888 and 314,130 is: 676,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,888 : 314,130 = 314,130 : x
  2. Step 2: Convert to fraction form
    145,888/314,130 = 314,130/x
  3. Step 3: Cross multiply
    145,888x = 314,130 × 314,130
  4. Step 4: Simplify right side
    145,888x = 98,677,656,900
  5. Step 5: Solve for x
    x = 98,677,656,900/145,888
  6. Step 6: Final answer
    x = 676,393.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.