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Finding the Third Proportional to 164,303.25 and 249,529.50

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Solution

The third proportional to 164,303.25 and 249,529.50 is: 378,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,303.25 : 249,529.50 = 249,529.50 : x
  2. Step 2: Convert to fraction form
    164,303.25/249,529.50 = 249,529.50/x
  3. Step 3: Cross multiply
    164,303.25x = 249,529.50 × 249,529.50
  4. Step 4: Simplify right side
    164,303.25x = 62,264,971,370.25
  5. Step 5: Solve for x
    x = 62,264,971,370.25/164,303.25
  6. Step 6: Final answer
    x = 378,963.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.