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Finding the Third Proportional to 148,095 and 314,176.50

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Solution

The third proportional to 148,095 and 314,176.50 is: 666,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,095 : 314,176.50 = 314,176.50 : x
  2. Step 2: Convert to fraction form
    148,095/314,176.50 = 314,176.50/x
  3. Step 3: Cross multiply
    148,095x = 314,176.50 × 314,176.50
  4. Step 4: Simplify right side
    148,095x = 98,706,873,152.25
  5. Step 5: Solve for x
    x = 98,706,873,152.25/148,095
  6. Step 6: Final answer
    x = 666,510.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.