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Finding the Third Proportional to 153,594 and 314,842

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Solution

The third proportional to 153,594 and 314,842 is: 645,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,594 : 314,842 = 314,842 : x
  2. Step 2: Convert to fraction form
    153,594/314,842 = 314,842/x
  3. Step 3: Cross multiply
    153,594x = 314,842 × 314,842
  4. Step 4: Simplify right side
    153,594x = 99,125,484,964
  5. Step 5: Solve for x
    x = 99,125,484,964/153,594
  6. Step 6: Final answer
    x = 645,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.